4(3+w)=3(w-5)

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


Simplifying
4(3 + w) = 3(w + -5)
(3 * 4 + w * 4) = 3(w + -5)
(12 + 4w) = 3(w + -5)

Reorder the terms:
12 + 4w = 3(-5 + w)
12 + 4w = (-5 * 3 + w * 3)
12 + 4w = (-15 + 3w)

Solving
12 + 4w = -15 + 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 + 4w + -3w = -15 + 3w + -3w

Combine like terms: 4w + -3w = 1w
12 + 1w = -15 + 3w + -3w

Combine like terms: 3w + -3w = 0
12 + 1w = -15 + 0
12 + 1w = -15

Add '-12' to each side of the equation.
12 + -12 + 1w = -15 + -12

Combine like terms: 12 + -12 = 0
0 + 1w = -15 + -12
1w = -15 + -12

Combine like terms: -15 + -12 = -27
1w = -27

Divide each side by '1'.
w = -27

Simplifying
w = -27

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