12=3w+3(w-6)

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


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

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

Reorder the terms:
12 = -18 + 3w + 3w

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

Solving
12 = -18 + 6w

Solving for variable 'w'.

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

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

Combine like terms: 6w + -6w = 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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