-3(w+3)=9w-7+2(2w+6)

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Solution for -3(w+3)=9w-7+2(2w+6) equation:


Simplifying
-3(w + 3) = 9w + -7 + 2(2w + 6)

Reorder the terms:
-3(3 + w) = 9w + -7 + 2(2w + 6)
(3 * -3 + w * -3) = 9w + -7 + 2(2w + 6)
(-9 + -3w) = 9w + -7 + 2(2w + 6)

Reorder the terms:
-9 + -3w = 9w + -7 + 2(6 + 2w)
-9 + -3w = 9w + -7 + (6 * 2 + 2w * 2)
-9 + -3w = 9w + -7 + (12 + 4w)

Reorder the terms:
-9 + -3w = -7 + 12 + 9w + 4w

Combine like terms: -7 + 12 = 5
-9 + -3w = 5 + 9w + 4w

Combine like terms: 9w + 4w = 13w
-9 + -3w = 5 + 13w

Solving
-9 + -3w = 5 + 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.
-9 + -3w + -13w = 5 + 13w + -13w

Combine like terms: -3w + -13w = -16w
-9 + -16w = 5 + 13w + -13w

Combine like terms: 13w + -13w = 0
-9 + -16w = 5 + 0
-9 + -16w = 5

Add '9' to each side of the equation.
-9 + 9 + -16w = 5 + 9

Combine like terms: -9 + 9 = 0
0 + -16w = 5 + 9
-16w = 5 + 9

Combine like terms: 5 + 9 = 14
-16w = 14

Divide each side by '-16'.
w = -0.875

Simplifying
w = -0.875

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