w+(5+3w)=2w-7

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Solution for w+(5+3w)=2w-7 equation:


Simplifying
w + (5 + 3w) = 2w + -7

Remove parenthesis around (5 + 3w)
w + 5 + 3w = 2w + -7

Reorder the terms:
5 + w + 3w = 2w + -7

Combine like terms: w + 3w = 4w
5 + 4w = 2w + -7

Reorder the terms:
5 + 4w = -7 + 2w

Solving
5 + 4w = -7 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
5 + 4w + -2w = -7 + 2w + -2w

Combine like terms: 4w + -2w = 2w
5 + 2w = -7 + 2w + -2w

Combine like terms: 2w + -2w = 0
5 + 2w = -7 + 0
5 + 2w = -7

Add '-5' to each side of the equation.
5 + -5 + 2w = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 2w = -7 + -5
2w = -7 + -5

Combine like terms: -7 + -5 = -12
2w = -12

Divide each side by '2'.
w = -6

Simplifying
w = -6

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