-3(w+2)=5w-6+5(2w+2)

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Solution for -3(w+2)=5w-6+5(2w+2) equation:


Simplifying
-3(w + 2) = 5w + -6 + 5(2w + 2)

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

Reorder the terms:
-6 + -3w = 5w + -6 + 5(2 + 2w)
-6 + -3w = 5w + -6 + (2 * 5 + 2w * 5)
-6 + -3w = 5w + -6 + (10 + 10w)

Reorder the terms:
-6 + -3w = -6 + 10 + 5w + 10w

Combine like terms: -6 + 10 = 4
-6 + -3w = 4 + 5w + 10w

Combine like terms: 5w + 10w = 15w
-6 + -3w = 4 + 15w

Solving
-6 + -3w = 4 + 15w

Solving for variable 'w'.

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

Add '-15w' to each side of the equation.
-6 + -3w + -15w = 4 + 15w + -15w

Combine like terms: -3w + -15w = -18w
-6 + -18w = 4 + 15w + -15w

Combine like terms: 15w + -15w = 0
-6 + -18w = 4 + 0
-6 + -18w = 4

Add '6' to each side of the equation.
-6 + 6 + -18w = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -18w = 4 + 6
-18w = 4 + 6

Combine like terms: 4 + 6 = 10
-18w = 10

Divide each side by '-18'.
w = -0.5555555556

Simplifying
w = -0.5555555556

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