2(w-9)-(4-7w)=8w

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Solution for 2(w-9)-(4-7w)=8w equation:


Simplifying
2(w + -9) + -1(4 + -7w) = 8w

Reorder the terms:
2(-9 + w) + -1(4 + -7w) = 8w
(-9 * 2 + w * 2) + -1(4 + -7w) = 8w
(-18 + 2w) + -1(4 + -7w) = 8w
-18 + 2w + (4 * -1 + -7w * -1) = 8w
-18 + 2w + (-4 + 7w) = 8w

Reorder the terms:
-18 + -4 + 2w + 7w = 8w

Combine like terms: -18 + -4 = -22
-22 + 2w + 7w = 8w

Combine like terms: 2w + 7w = 9w
-22 + 9w = 8w

Solving
-22 + 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.
-22 + 9w + -8w = 8w + -8w

Combine like terms: 9w + -8w = 1w
-22 + 1w = 8w + -8w

Combine like terms: 8w + -8w = 0
-22 + 1w = 0

Add '22' to each side of the equation.
-22 + 22 + 1w = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 1w = 0 + 22
1w = 0 + 22

Combine like terms: 0 + 22 = 22
1w = 22

Divide each side by '1'.
w = 22

Simplifying
w = 22

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