7w-3(6+2w)=3(w-8)

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Solution for 7w-3(6+2w)=3(w-8) equation: 


Simplifying
7w + -3(6 + 2w) = 3(w + -8)
7w + (6 * -3 + 2w * -3) = 3(w + -8)
7w + (-18 + -6w) = 3(w + -8)

Reorder the terms:
-18 + 7w + -6w = 3(w + -8)

Combine like terms: 7w + -6w = 1w
-18 + 1w = 3(w + -8)

Reorder the terms:
-18 + 1w = 3(-8 + w)
-18 + 1w = (-8 * 3 + w * 3)
-18 + 1w = (-24 + 3w)

Solving
-18 + 1w = -24 + 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.
-18 + 1w + -3w = -24 + 3w + -3w

Combine like terms: 1w + -3w = -2w
-18 + -2w = -24 + 3w + -3w

Combine like terms: 3w + -3w = 0
-18 + -2w = -24 + 0
-18 + -2w = -24

Add '18' to each side of the equation.
-18 + 18 + -2w = -24 + 18

Combine like terms: -18 + 18 = 0
0 + -2w = -24 + 18
-2w = -24 + 18

Combine like terms: -24 + 18 = -6
-2w = -6

Divide each side by '-2'.
w = 3

Simplifying
w = 3

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