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

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


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

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

Combine like terms: 20w + 3w = 23w
20 + 23w = 7(w + 8) + -4

Reorder the terms:
20 + 23w = 7(8 + w) + -4
20 + 23w = (8 * 7 + w * 7) + -4
20 + 23w = (56 + 7w) + -4

Reorder the terms:
20 + 23w = 56 + -4 + 7w

Combine like terms: 56 + -4 = 52
20 + 23w = 52 + 7w

Solving
20 + 23w = 52 + 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 + 23w + -7w = 52 + 7w + -7w

Combine like terms: 23w + -7w = 16w
20 + 16w = 52 + 7w + -7w

Combine like terms: 7w + -7w = 0
20 + 16w = 52 + 0
20 + 16w = 52

Add '-20' to each side of the equation.
20 + -20 + 16w = 52 + -20

Combine like terms: 20 + -20 = 0
0 + 16w = 52 + -20
16w = 52 + -20

Combine like terms: 52 + -20 = 32
16w = 32

Divide each side by '16'.
w = 2

Simplifying
w = 2

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