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

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


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

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

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

Reorder the terms:
20 + 19w = 8(7 + w) + -3
20 + 19w = (7 * 8 + w * 8) + -3
20 + 19w = (56 + 8w) + -3

Reorder the terms:
20 + 19w = 56 + -3 + 8w

Combine like terms: 56 + -3 = 53
20 + 19w = 53 + 8w

Solving
20 + 19w = 53 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
20 + 19w + -8w = 53 + 8w + -8w

Combine like terms: 19w + -8w = 11w
20 + 11w = 53 + 8w + -8w

Combine like terms: 8w + -8w = 0
20 + 11w = 53 + 0
20 + 11w = 53

Add '-20' to each side of the equation.
20 + -20 + 11w = 53 + -20

Combine like terms: 20 + -20 = 0
0 + 11w = 53 + -20
11w = 53 + -20

Combine like terms: 53 + -20 = 33
11w = 33

Divide each side by '11'.
w = 3

Simplifying
w = 3

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