-12=3w+6(w+7)

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Solution for -12=3w+6(w+7) equation:


Simplifying
-12 = 3w + 6(w + 7)

Reorder the terms:
-12 = 3w + 6(7 + w)
-12 = 3w + (7 * 6 + w * 6)
-12 = 3w + (42 + 6w)

Reorder the terms:
-12 = 42 + 3w + 6w

Combine like terms: 3w + 6w = 9w
-12 = 42 + 9w

Solving
-12 = 42 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
-12 + -9w = 42 + 9w + -9w

Combine like terms: 9w + -9w = 0
-12 + -9w = 42 + 0
-12 + -9w = 42

Add '12' to each side of the equation.
-12 + 12 + -9w = 42 + 12

Combine like terms: -12 + 12 = 0
0 + -9w = 42 + 12
-9w = 42 + 12

Combine like terms: 42 + 12 = 54
-9w = 54

Divide each side by '-9'.
w = -6

Simplifying
w = -6

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