Solved on Feb 20, 2024

Solve $2(g-h)=b+4$ for $g$ . Options: (A) $g=b+h+4$ (B) $g=b+2h+4$ (C) $g=b+h+2$ $g=\frac{b}{2}+h+2$

STEP 1

Assumptions
1. The equation to solve is $2(g-h)=b+4$ .
2. We need to solve for $g$ .

STEP 2

First, we will distribute the 2 on the left side of the equation to both $g$ and $-h$ .
$2(g-h) = 2g - 2h$

STEP 3

Now, rewrite the equation with the distributed terms.
$2g - 2h = b + 4$

STEP 4

Next, we want to isolate $g$ on one side of the equation. To do this, we will add $2h$ to both sides of the equation to move the term involving $h$ to the right side.
$2g - 2h + 2h = b + 4 + 2h$

STEP 5

Simplify both sides of the equation by combining like terms.
$2g = b + 4 + 2h$

STEP 6

To solve for $g$ , we need to divide both sides of the equation by 2.
$\frac{2g}{2} = \frac{b + 4 + 2h}{2}$

STEP 7

Simplify the equation by performing the division.
$g = \frac{b}{2} + 2 + h$

STEP 8

Rearrange the terms to match the format of the answer choices.
$g = \frac{b}{2} + h + 2$
The solution to the equation $2(g-h)=b+4$ for $g$ is $g = \frac{b}{2} + h + 2$ .

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Solve $2(g-h)=b+4$ for $g$ . Options: (A) $g=b+h+4$ (B) $g=b+2h+4$ (C) $g=b+h+2$ $g=\frac{b}{2}+h+2$

STEP 1

Assumptions
1. The equation to solve is $2(g-h)=b+4$ .
2. We need to solve for $g$ .

STEP 2

First, we will distribute the 2 on the left side of the equation to both $g$ and $-h$ .
$2(g-h) = 2g - 2h$

STEP 3

Now, rewrite the equation with the distributed terms.
$2g - 2h = b + 4$

STEP 4

Next, we want to isolate $g$ on one side of the equation. To do this, we will add $2h$ to both sides of the equation to move the term involving $h$ to the right side.
$2g - 2h + 2h = b + 4 + 2h$

STEP 5

Simplify both sides of the equation by combining like terms.
$2g = b + 4 + 2h$

STEP 6

To solve for $g$ , we need to divide both sides of the equation by 2.
$\frac{2g}{2} = \frac{b + 4 + 2h}{2}$

STEP 7

Simplify the equation by performing the division.
$g = \frac{b}{2} + 2 + h$

STEP 8

Rearrange the terms to match the format of the answer choices.
$g = \frac{b}{2} + h + 2$
The solution to the equation $2(g-h)=b+4$ for $g$ is $g = \frac{b}{2} + h + 2$ .

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Solve 2(g−h)=b+42(g-h)=b+42(g−h)=b+4 for ggg. Options: (A) g=b+h+4g=b+h+4g=b+h+4 (B) g=b+2h+4g=b+2h+4g=b+2h+4 (C) g=b+h+2g=b+h+2g=b+h+2 g=b2+h+2g=\frac{b}{2}+h+2g=2b​+h+2

STEP 1

Assumptions1. The equation to solve is 2(g−h)=b+42(g-h)=b+42(g−h)=b+4.2. We need to solve for ggg.

STEP 2

First, we will distribute the 2 on the left side of the equation to both ggg and −h-h−h.2(g−h)=2g−2h2(g-h) = 2g - 2h2(g−h)=2g−2h

STEP 3

Now, rewrite the equation with the distributed terms.2g−2h=b+42g - 2h = b + 42g−2h=b+4

STEP 4

Next, we want to isolate ggg on one side of the equation. To do this, we will add 2h2h2h to both sides of the equation to move the term involving hhh to the right side.2g−2h+2h=b+4+2h2g - 2h + 2h = b + 4 + 2h2g−2h+2h=b+4+2h

STEP 5

Simplify both sides of the equation by combining like terms.2g=b+4+2h2g = b + 4 + 2h2g=b+4+2h

STEP 6

To solve for ggg, we need to divide both sides of the equation by 2.2g2=b+4+2h2\frac{2g}{2} = \frac{b + 4 + 2h}{2}22g​=2b+4+2h​

STEP 7

Simplify the equation by performing the division.g=b2+2+hg = \frac{b}{2} + 2 + hg=2b​+2+h

STEP 8

Rearrange the terms to match the format of the answer choices.g=b2+h+2g = \frac{b}{2} + h + 2g=2b​+h+2The solution to the equation 2(g−h)=b+42(g-h)=b+42(g−h)=b+4 for ggg is g=b2+h+2g = \frac{b}{2} + h + 2g=2b​+h+2.

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Solve $2(g-h)=b+4$ for $g$ . Options: (A) $g=b+h+4$ (B) $g=b+2h+4$ (C) $g=b+h+2$ $g=\frac{b}{2}+h+2$

Assumptions
1. The equation to solve is $2(g-h)=b+4$ .
2. We need to solve for $g$ .

First, we will distribute the 2 on the left side of the equation to both $g$ and $-h$ .
$2(g-h) = 2g - 2h$

Now, rewrite the equation with the distributed terms.
$2g - 2h = b + 4$

Next, we want to isolate $g$ on one side of the equation. To do this, we will add $2h$ to both sides of the equation to move the term involving $h$ to the right side.
$2g - 2h + 2h = b + 4 + 2h$

Simplify both sides of the equation by combining like terms.
$2g = b + 4 + 2h$

To solve for $g$ , we need to divide both sides of the equation by 2.
$\frac{2g}{2} = \frac{b + 4 + 2h}{2}$

Simplify the equation by performing the division.
$g = \frac{b}{2} + 2 + h$

Rearrange the terms to match the format of the answer choices.
$g = \frac{b}{2} + h + 2$
The solution to the equation $2(g-h)=b+4$ for $g$ is $g = \frac{b}{2} + h + 2$ .