7(w-6)-(-2w-6)=8w

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Solution for 7(w-6)-(-2w-6)=8w equation:


Simplifying
7(w + -6) + -1(-2w + -6) = 8w

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

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

Reorder the terms:
-42 + 6 + 7w + 2w = 8w

Combine like terms: -42 + 6 = -36
-36 + 7w + 2w = 8w

Combine like terms: 7w + 2w = 9w
-36 + 9w = 8w

Solving
-36 + 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.
-36 + 9w + -8w = 8w + -8w

Combine like terms: 9w + -8w = 1w
-36 + 1w = 8w + -8w

Combine like terms: 8w + -8w = 0
-36 + 1w = 0

Add '36' to each side of the equation.
-36 + 36 + 1w = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 1w = 0 + 36
1w = 0 + 36

Combine like terms: 0 + 36 = 36
1w = 36

Divide each side by '1'.
w = 36

Simplifying
w = 36

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