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

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


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

Reorder the terms:
5w + 5 + -2(-3 + -3w) = 2(w + -2)
5w + 5 + (-3 * -2 + -3w * -2) = 2(w + -2)
5w + 5 + (6 + 6w) = 2(w + -2)

Reorder the terms:
5 + 6 + 5w + 6w = 2(w + -2)

Combine like terms: 5 + 6 = 11
11 + 5w + 6w = 2(w + -2)

Combine like terms: 5w + 6w = 11w
11 + 11w = 2(w + -2)

Reorder the terms:
11 + 11w = 2(-2 + w)
11 + 11w = (-2 * 2 + w * 2)
11 + 11w = (-4 + 2w)

Solving
11 + 11w = -4 + 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.
11 + 11w + -2w = -4 + 2w + -2w

Combine like terms: 11w + -2w = 9w
11 + 9w = -4 + 2w + -2w

Combine like terms: 2w + -2w = 0
11 + 9w = -4 + 0
11 + 9w = -4

Add '-11' to each side of the equation.
11 + -11 + 9w = -4 + -11

Combine like terms: 11 + -11 = 0
0 + 9w = -4 + -11
9w = -4 + -11

Combine like terms: -4 + -11 = -15
9w = -15

Divide each side by '9'.
w = -1.666666667

Simplifying
w = -1.666666667

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