Question

19 = 15 w- 4(3 w-1) solve for w

Answer 1

Step-by-step explanation:

Simplifying

19 = 15w + -4(3w + -1)

Reorder the terms:

19 = 15w + -4(-1 + 3w)

19 = 15w + (-1 * -4 + 3w * -4)

19 = 15w + (4 + -12w)

Reorder the terms:

19 = 4 + 15w + -12w

Combine like terms: 15w + -12w = 3w

19 = 4 + 3w

Solving

19 = 4 + 3w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-3w' to each side of the equation.

19 + -3w = 4 + 3w + -3w

Combine like terms: 3w + -3w = 0

19 + -3w = 4 + 0

19 + -3w = 4

Add '-19' to each side of the equation.

19 + -19 + -3w = 4 + -19

Combine like terms: 19 + -19 = 0

0 + -3w = 4 + -19

-3w = 4 + -19

Combine like terms: 4 + -19 = -15

-3w = -15

Divide each side by '-3'.

w = 5

Simplifying

w = 5