-2(w+4)=w-8+3(5w+3)

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Solution for -2(w+4)=w-8+3(5w+3) equation:


Simplifying
-2(w + 4) = w + -8 + 3(5w + 3)

Reorder the terms:
-2(4 + w) = w + -8 + 3(5w + 3)
(4 * -2 + w * -2) = w + -8 + 3(5w + 3)
(-8 + -2w) = w + -8 + 3(5w + 3)

Reorder the terms:
-8 + -2w = w + -8 + 3(3 + 5w)
-8 + -2w = w + -8 + (3 * 3 + 5w * 3)
-8 + -2w = w + -8 + (9 + 15w)

Reorder the terms:
-8 + -2w = -8 + 9 + w + 15w

Combine like terms: -8 + 9 = 1
-8 + -2w = 1 + w + 15w

Combine like terms: w + 15w = 16w
-8 + -2w = 1 + 16w

Solving
-8 + -2w = 1 + 16w

Solving for variable 'w'.

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

Add '-16w' to each side of the equation.
-8 + -2w + -16w = 1 + 16w + -16w

Combine like terms: -2w + -16w = -18w
-8 + -18w = 1 + 16w + -16w

Combine like terms: 16w + -16w = 0
-8 + -18w = 1 + 0
-8 + -18w = 1

Add '8' to each side of the equation.
-8 + 8 + -18w = 1 + 8

Combine like terms: -8 + 8 = 0
0 + -18w = 1 + 8
-18w = 1 + 8

Combine like terms: 1 + 8 = 9
-18w = 9

Divide each side by '-18'.
w = -0.5

Simplifying
w = -0.5

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