3(w+2)+2(2w-2)=9

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Solution for 3(w+2)+2(2w-2)=9 equation:


Simplifying
3(w + 2) + 2(2w + -2) = 9

Reorder the terms:
3(2 + w) + 2(2w + -2) = 9
(2 * 3 + w * 3) + 2(2w + -2) = 9
(6 + 3w) + 2(2w + -2) = 9

Reorder the terms:
6 + 3w + 2(-2 + 2w) = 9
6 + 3w + (-2 * 2 + 2w * 2) = 9
6 + 3w + (-4 + 4w) = 9

Reorder the terms:
6 + -4 + 3w + 4w = 9

Combine like terms: 6 + -4 = 2
2 + 3w + 4w = 9

Combine like terms: 3w + 4w = 7w
2 + 7w = 9

Solving
2 + 7w = 9

Solving for variable 'w'.

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

Add '-2' to each side of the equation.
2 + -2 + 7w = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 7w = 9 + -2
7w = 9 + -2

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

Divide each side by '7'.
w = 1

Simplifying
w = 1

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