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
