5(4w+4)+2w=7(w+8)-6

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Solution for 5(4w+4)+2w=7(w+8)-6 equation: 


Simplifying
5(4w + 4) + 2w = 7(w + 8) + -6

Reorder the terms:
5(4 + 4w) + 2w = 7(w + 8) + -6
(4 * 5 + 4w * 5) + 2w = 7(w + 8) + -6
(20 + 20w) + 2w = 7(w + 8) + -6

Combine like terms: 20w + 2w = 22w
20 + 22w = 7(w + 8) + -6

Reorder the terms:
20 + 22w = 7(8 + w) + -6
20 + 22w = (8 * 7 + w * 7) + -6
20 + 22w = (56 + 7w) + -6

Reorder the terms:
20 + 22w = 56 + -6 + 7w

Combine like terms: 56 + -6 = 50
20 + 22w = 50 + 7w

Solving
20 + 22w = 50 + 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 + 22w + -7w = 50 + 7w + -7w

Combine like terms: 22w + -7w = 15w
20 + 15w = 50 + 7w + -7w

Combine like terms: 7w + -7w = 0
20 + 15w = 50 + 0
20 + 15w = 50

Add '-20' to each side of the equation.
20 + -20 + 15w = 50 + -20

Combine like terms: 20 + -20 = 0
0 + 15w = 50 + -20
15w = 50 + -20

Combine like terms: 50 + -20 = 30
15w = 30

Divide each side by '15'.
w = 2

Simplifying
w = 2

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