-6(w-7)=6w-6

Solution for -6(w-7)=6w-6 equation:

Simplifying
-6(w + -7) = 6w + -6

Reorder the terms:
-6(-7 + w) = 6w + -6
(-7 * -6 + w * -6) = 6w + -6
(42 + -6w) = 6w + -6

Reorder the terms:
42 + -6w = -6 + 6w

Solving
42 + -6w = -6 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
42 + -6w + -6w = -6 + 6w + -6w

Combine like terms: -6w + -6w = -12w
42 + -12w = -6 + 6w + -6w

Combine like terms: 6w + -6w = 0
42 + -12w = -6 + 0
42 + -12w = -6

Add '-42' to each side of the equation.
42 + -42 + -12w = -6 + -42

Combine like terms: 42 + -42 = 0
0 + -12w = -6 + -42
-12w = -6 + -42

Combine like terms: -6 + -42 = -48
-12w = -48

Divide each side by '-12'.
w = 4

Simplifying
w = 4