7(w-6)=9w

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

Simplifying
7(w + -6) = 9w

Reorder the terms:
7(-6 + w) = 9w
(-6 * 7 + w * 7) = 9w
(-42 + 7w) = 9w

Solving
-42 + 7w = 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
-42 + 7w + -9w = 9w + -9w

Combine like terms: 7w + -9w = -2w
-42 + -2w = 9w + -9w

Combine like terms: 9w + -9w = 0
-42 + -2w = 0

Add '42' to each side of the equation.
-42 + 42 + -2w = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -2w = 0 + 42
-2w = 0 + 42

Combine like terms: 0 + 42 = 42
-2w = 42

Divide each side by '-2'.
w = -21

Simplifying
w = -21