-4(w+4)=3(w+4)+7

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Solution for -4(w+4)=3(w+4)+7 equation:


Simplifying
-4(w + 4) = 3(w + 4) + 7

Reorder the terms:
-4(4 + w) = 3(w + 4) + 7
(4 * -4 + w * -4) = 3(w + 4) + 7
(-16 + -4w) = 3(w + 4) + 7

Reorder the terms:
-16 + -4w = 3(4 + w) + 7
-16 + -4w = (4 * 3 + w * 3) + 7
-16 + -4w = (12 + 3w) + 7

Reorder the terms:
-16 + -4w = 12 + 7 + 3w

Combine like terms: 12 + 7 = 19
-16 + -4w = 19 + 3w

Solving
-16 + -4w = 19 + 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.
-16 + -4w + -3w = 19 + 3w + -3w

Combine like terms: -4w + -3w = -7w
-16 + -7w = 19 + 3w + -3w

Combine like terms: 3w + -3w = 0
-16 + -7w = 19 + 0
-16 + -7w = 19

Add '16' to each side of the equation.
-16 + 16 + -7w = 19 + 16

Combine like terms: -16 + 16 = 0
0 + -7w = 19 + 16
-7w = 19 + 16

Combine like terms: 19 + 16 = 35
-7w = 35

Divide each side by '-7'.
w = -5

Simplifying
w = -5

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