7(W+6)-(9-2W)=8W

Solution for 7(W+6)-(9-2W)=8W equation:

Simplifying
7(W + 6) + -1(9 + -2W) = 8W

Reorder the terms:
7(6 + W) + -1(9 + -2W) = 8W
(6 * 7 + W * 7) + -1(9 + -2W) = 8W
(42 + 7W) + -1(9 + -2W) = 8W
42 + 7W + (9 * -1 + -2W * -1) = 8W
42 + 7W + (-9 + 2W) = 8W

Reorder the terms:
42 + -9 + 7W + 2W = 8W

Combine like terms: 42 + -9 = 33
33 + 7W + 2W = 8W

Combine like terms: 7W + 2W = 9W
33 + 9W = 8W

Solving
33 + 9W = 8W

Solving for variable 'W'.

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

Add '-8W' to each side of the equation.
33 + 9W + -8W = 8W + -8W

Combine like terms: 9W + -8W = 1W
33 + 1W = 8W + -8W

Combine like terms: 8W + -8W = 0
33 + 1W = 0

Add '-33' to each side of the equation.
33 + -33 + 1W = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 1W = 0 + -33
1W = 0 + -33

Combine like terms: 0 + -33 = -33
1W = -33

Divide each side by '1'.
W = -33

Simplifying
W = -33