QuestionSolve for $w$ in the equation $4(5+3 w)+5=49$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $4(5+3w)+5=49$ . We are solving for the variable $w$

STEP 2

First, we need to distribute the $4$ to both $5$ and $w$ inside the parentheses.
$4(5+w)+5 =45 +4w +5$

STEP 3

Now, perform the multiplication to simplify the equation.
$20 +12w +5 =49$

STEP 4

Combine the constant terms on the left side of the equation.
$12w +25 =49$

STEP 5

Subtract $25$ from both sides to isolate the term with $w$ on one side of the equation.
$12w =49 -25$

STEP 6

Perform the subtraction on the right side of the equation.
$12w =24$

STEP 7

Finally, divide both sides by $12$ to solve for $w$ .
$w =24 /12$

STEP 8

Perform the division to find the value of $w$ .
$w =2$ So, the solution to the equation $4(5+3w)+5=49$ is $w=2$ .

Was this helpful?

QuestionSolve for $w$ in the equation $4(5+3 w)+5=49$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $4(5+3w)+5=49$ . We are solving for the variable $w$

STEP 2

First, we need to distribute the $4$ to both $5$ and $w$ inside the parentheses.
$4(5+w)+5 =45 +4w +5$

STEP 3

Now, perform the multiplication to simplify the equation.
$20 +12w +5 =49$

STEP 4

Combine the constant terms on the left side of the equation.
$12w +25 =49$

STEP 5

Subtract $25$ from both sides to isolate the term with $w$ on one side of the equation.
$12w =49 -25$

STEP 6

Perform the subtraction on the right side of the equation.
$12w =24$

STEP 7

Finally, divide both sides by $12$ to solve for $w$ .
$w =24 /12$

STEP 8

Perform the division to find the value of $w$ .
$w =2$ So, the solution to the equation $4(5+3w)+5=49$ is $w=2$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve for www in the equation 4(5+3w)+5=494(5+3 w)+5=494(5+3w)+5=49.

Studdy Solution

STEP 1

Assumptions1. The equation is 4(5+3w)+5=494(5+3w)+5=494(5+3w)+5=49 . We are solving for the variable www

STEP 2

First, we need to distribute the 444 to both 555 and www inside the parentheses.4(5+w)+5=4∗5+4∗w+54(5+w)+5 =4*5 +4*w +54(5+w)+5=4∗5+4∗w+5

STEP 3

Now, perform the multiplication to simplify the equation.20+12w+5=4920 +12w +5 =4920+12w+5=49

STEP 4

Combine the constant terms on the left side of the equation.12w+25=4912w +25 =4912w+25=49

STEP 5

Subtract 252525 from both sides to isolate the term with www on one side of the equation.12w=49−2512w =49 -2512w=49−25

STEP 6

Perform the subtraction on the right side of the equation.12w=2412w =2412w=24

STEP 7

Finally, divide both sides by 121212 to solve for www.w=24/12w =24 /12w=24/12

STEP 8

Perform the division to find the value of www.w=2w =2w=2So, the solution to the equation 4(5+3w)+5=494(5+3w)+5=494(5+3w)+5=49 is w=2w=2w=2.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve for $w$ in the equation $4(5+3 w)+5=49$ .

Assumptions1. The equation is $4(5+3w)+5=49$ . We are solving for the variable $w$

First, we need to distribute the $4$ to both $5$ and $w$ inside the parentheses.
$4(5+w)+5 =45 +4w +5$

Now, perform the multiplication to simplify the equation.
$20 +12w +5 =49$

Combine the constant terms on the left side of the equation.
$12w +25 =49$

Subtract $25$ from both sides to isolate the term with $w$ on one side of the equation.
$12w =49 -25$

Perform the subtraction on the right side of the equation.
$12w =24$

Finally, divide both sides by $12$ to solve for $w$ .
$w =24 /12$

Perform the division to find the value of $w$ .
$w =2$ So, the solution to the equation $4(5+3w)+5=49$ is $w=2$ .