3w+3(3w+-15)=42

Solution for 3w+3(3w+-15)=42 equation:

Simplifying
3w + 3(3w + -15) = 42

Reorder the terms:
3w + 3(-15 + 3w) = 42
3w + (-15 * 3 + 3w * 3) = 42
3w + (-45 + 9w) = 42

Reorder the terms:
-45 + 3w + 9w = 42

Combine like terms: 3w + 9w = 12w
-45 + 12w = 42

Solving
-45 + 12w = 42

Solving for variable 'w'.

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

Add '45' to each side of the equation.
-45 + 45 + 12w = 42 + 45

Combine like terms: -45 + 45 = 0
0 + 12w = 42 + 45
12w = 42 + 45

Combine like terms: 42 + 45 = 87
12w = 87

Divide each side by '12'.
w = 7.25

Simplifying
w = 7.25