4(w+4)=w-15

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Solution for 4(w+4)=w-15 equation:


Simplifying
4(w + 4) = w + -15

Reorder the terms:
4(4 + w) = w + -15
(4 * 4 + w * 4) = w + -15
(16 + 4w) = w + -15

Reorder the terms:
16 + 4w = -15 + w

Solving
16 + 4w = -15 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
16 + 4w + -1w = -15 + w + -1w

Combine like terms: 4w + -1w = 3w
16 + 3w = -15 + w + -1w

Combine like terms: w + -1w = 0
16 + 3w = -15 + 0
16 + 3w = -15

Add '-16' to each side of the equation.
16 + -16 + 3w = -15 + -16

Combine like terms: 16 + -16 = 0
0 + 3w = -15 + -16
3w = -15 + -16

Combine like terms: -15 + -16 = -31
3w = -31

Divide each side by '3'.
w = -10.33333333

Simplifying
w = -10.33333333

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