9w-12=3(w+6)

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Solution for 9w-12=3(w+6) equation:


Simplifying
9w + -12 = 3(w + 6)

Reorder the terms:
-12 + 9w = 3(w + 6)

Reorder the terms:
-12 + 9w = 3(6 + w)
-12 + 9w = (6 * 3 + w * 3)
-12 + 9w = (18 + 3w)

Solving
-12 + 9w = 18 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-12 + 9w + -3w = 18 + 3w + -3w

Combine like terms: 9w + -3w = 6w
-12 + 6w = 18 + 3w + -3w

Combine like terms: 3w + -3w = 0
-12 + 6w = 18 + 0
-12 + 6w = 18

Add '12' to each side of the equation.
-12 + 12 + 6w = 18 + 12

Combine like terms: -12 + 12 = 0
0 + 6w = 18 + 12
6w = 18 + 12

Combine like terms: 18 + 12 = 30
6w = 30

Divide each side by '6'.
w = 5

Simplifying
w = 5

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