7(w-9)=6w-6

Solution for 7(w-9)=6w-6 equation:

Simplifying
7(w + -9) = 6w + -6

Reorder the terms:
7(-9 + w) = 6w + -6
(-9 * 7 + w * 7) = 6w + -6
(-63 + 7w) = 6w + -6

Reorder the terms:
-63 + 7w = -6 + 6w

Solving
-63 + 7w = -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.
-63 + 7w + -6w = -6 + 6w + -6w

Combine like terms: 7w + -6w = 1w
-63 + 1w = -6 + 6w + -6w

Combine like terms: 6w + -6w = 0
-63 + 1w = -6 + 0
-63 + 1w = -6

Add '63' to each side of the equation.
-63 + 63 + 1w = -6 + 63

Combine like terms: -63 + 63 = 0
0 + 1w = -6 + 63
1w = -6 + 63

Combine like terms: -6 + 63 = 57
1w = 57

Divide each side by '1'.
w = 57

Simplifying
w = 57