4(4w+5)+3w=7(w+8)-12

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Solution for 4(4w+5)+3w=7(w+8)-12 equation:


Simplifying
4(4w + 5) + 3w = 7(w + 8) + -12

Reorder the terms:
4(5 + 4w) + 3w = 7(w + 8) + -12
(5 * 4 + 4w * 4) + 3w = 7(w + 8) + -12
(20 + 16w) + 3w = 7(w + 8) + -12

Combine like terms: 16w + 3w = 19w
20 + 19w = 7(w + 8) + -12

Reorder the terms:
20 + 19w = 7(8 + w) + -12
20 + 19w = (8 * 7 + w * 7) + -12
20 + 19w = (56 + 7w) + -12

Reorder the terms:
20 + 19w = 56 + -12 + 7w

Combine like terms: 56 + -12 = 44
20 + 19w = 44 + 7w

Solving
20 + 19w = 44 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
20 + 19w + -7w = 44 + 7w + -7w

Combine like terms: 19w + -7w = 12w
20 + 12w = 44 + 7w + -7w

Combine like terms: 7w + -7w = 0
20 + 12w = 44 + 0
20 + 12w = 44

Add '-20' to each side of the equation.
20 + -20 + 12w = 44 + -20

Combine like terms: 20 + -20 = 0
0 + 12w = 44 + -20
12w = 44 + -20

Combine like terms: 44 + -20 = 24
12w = 24

Divide each side by '12'.
w = 2

Simplifying
w = 2

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