QuestionSolve the equation $5z - 7z - 24 = -32$ and express your answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The given equation is $5z -7z -24 = -32$ . We need to solve for $z$

STEP 2

First, we need to simplify the equation by combining like terms. In this case, we combine the terms with $z$ .
$5z -7z -24 = -32$ becomes $-2z -24 = -32$

STEP 3

Next, we isolate the term with $z$ by adding24 to both sides of the equation.
$-2z -24 +24 = -32 +24$ which simplifies to $-2z = -8$

STEP 4

Finally, we solve for $z$ by dividing both sides of the equation by -2.
$z = \frac{-8}{-2}$

STEP 5

Calculate the value of $z$ .
$z = \frac{-8}{-2} =4$ The solution to the equation is $z =4$ .

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QuestionSolve the equation $5z - 7z - 24 = -32$ and express your answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The given equation is $5z -7z -24 = -32$ . We need to solve for $z$

STEP 2

First, we need to simplify the equation by combining like terms. In this case, we combine the terms with $z$ .
$5z -7z -24 = -32$ becomes $-2z -24 = -32$

STEP 3

Next, we isolate the term with $z$ by adding24 to both sides of the equation.
$-2z -24 +24 = -32 +24$ which simplifies to $-2z = -8$

STEP 4

Finally, we solve for $z$ by dividing both sides of the equation by -2.
$z = \frac{-8}{-2}$

STEP 5

Calculate the value of $z$ .
$z = \frac{-8}{-2} =4$ The solution to the equation is $z =4$ .

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QuestionSolve the equation 5z−7z−24=−325z - 7z - 24 = -325z−7z−24=−32 and express your answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The given equation is 5z−7z−24=−325z -7z -24 = -325z−7z−24=−32 . We need to solve for zzz

STEP 2

First, we need to simplify the equation by combining like terms. In this case, we combine the terms with zzz.5z−7z−24=−325z -7z -24 = -325z−7z−24=−32becomes−2z−24=−32-2z -24 = -32−2z−24=−32

STEP 3

Next, we isolate the term with zzz by adding24 to both sides of the equation.−2z−24+24=−32+24-2z -24 +24 = -32 +24−2z−24+24=−32+24which simplifies to−2z=−8-2z = -8−2z=−8

STEP 4

Finally, we solve for zzz by dividing both sides of the equation by -2.z=−8−2z = \frac{-8}{-2}z=−2−8​

STEP 5

Calculate the value of zzz.z=−8−2=4z = \frac{-8}{-2} =4z=−2−8​=4The solution to the equation is z=4z =4z=4.

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QuestionSolve the equation $5z - 7z - 24 = -32$ and express your answer as an integer, fraction, or decimal (2 decimal places).

Assumptions1. The given equation is $5z -7z -24 = -32$ . We need to solve for $z$

First, we need to simplify the equation by combining like terms. In this case, we combine the terms with $z$ .
$5z -7z -24 = -32$ becomes $-2z -24 = -32$

Next, we isolate the term with $z$ by adding24 to both sides of the equation.
$-2z -24 +24 = -32 +24$ which simplifies to $-2z = -8$

Finally, we solve for $z$ by dividing both sides of the equation by -2.
$z = \frac{-8}{-2}$

Calculate the value of $z$ .
$z = \frac{-8}{-2} =4$ The solution to the equation is $z =4$ .