4w+5-3w=6(2w-12)

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Solution for 4w+5-3w=6(2w-12) equation:


Simplifying
4w + 5 + -3w = 6(2w + -12)

Reorder the terms:
5 + 4w + -3w = 6(2w + -12)

Combine like terms: 4w + -3w = 1w
5 + 1w = 6(2w + -12)

Reorder the terms:
5 + 1w = 6(-12 + 2w)
5 + 1w = (-12 * 6 + 2w * 6)
5 + 1w = (-72 + 12w)

Solving
5 + 1w = -72 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
5 + 1w + -12w = -72 + 12w + -12w

Combine like terms: 1w + -12w = -11w
5 + -11w = -72 + 12w + -12w

Combine like terms: 12w + -12w = 0
5 + -11w = -72 + 0
5 + -11w = -72

Add '-5' to each side of the equation.
5 + -5 + -11w = -72 + -5

Combine like terms: 5 + -5 = 0
0 + -11w = -72 + -5
-11w = -72 + -5

Combine like terms: -72 + -5 = -77
-11w = -77

Divide each side by '-11'.
w = 7

Simplifying
w = 7

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