-2(w+3)=w-6+3(4w+6)

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Solution for -2(w+3)=w-6+3(4w+6) equation:


Simplifying
-2(w + 3) = w + -6 + 3(4w + 6)

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

Reorder the terms:
-6 + -2w = w + -6 + 3(6 + 4w)
-6 + -2w = w + -6 + (6 * 3 + 4w * 3)
-6 + -2w = w + -6 + (18 + 12w)

Reorder the terms:
-6 + -2w = -6 + 18 + w + 12w

Combine like terms: -6 + 18 = 12
-6 + -2w = 12 + w + 12w

Combine like terms: w + 12w = 13w
-6 + -2w = 12 + 13w

Solving
-6 + -2w = 12 + 13w

Solving for variable 'w'.

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

Add '-13w' to each side of the equation.
-6 + -2w + -13w = 12 + 13w + -13w

Combine like terms: -2w + -13w = -15w
-6 + -15w = 12 + 13w + -13w

Combine like terms: 13w + -13w = 0
-6 + -15w = 12 + 0
-6 + -15w = 12

Add '6' to each side of the equation.
-6 + 6 + -15w = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -15w = 12 + 6
-15w = 12 + 6

Combine like terms: 12 + 6 = 18
-15w = 18

Divide each side by '-15'.
w = -1.2

Simplifying
w = -1.2

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