4(4w+4)+2w=7(w+8)-29

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Solution for 4(4w+4)+2w=7(w+8)-29 equation: 


Simplifying
4(4w + 4) + 2w = 7(w + 8) + -29

Reorder the terms:
4(4 + 4w) + 2w = 7(w + 8) + -29
(4 * 4 + 4w * 4) + 2w = 7(w + 8) + -29
(16 + 16w) + 2w = 7(w + 8) + -29

Combine like terms: 16w + 2w = 18w
16 + 18w = 7(w + 8) + -29

Reorder the terms:
16 + 18w = 7(8 + w) + -29
16 + 18w = (8 * 7 + w * 7) + -29
16 + 18w = (56 + 7w) + -29

Reorder the terms:
16 + 18w = 56 + -29 + 7w

Combine like terms: 56 + -29 = 27
16 + 18w = 27 + 7w

Solving
16 + 18w = 27 + 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.
16 + 18w + -7w = 27 + 7w + -7w

Combine like terms: 18w + -7w = 11w
16 + 11w = 27 + 7w + -7w

Combine like terms: 7w + -7w = 0
16 + 11w = 27 + 0
16 + 11w = 27

Add '-16' to each side of the equation.
16 + -16 + 11w = 27 + -16

Combine like terms: 16 + -16 = 0
0 + 11w = 27 + -16
11w = 27 + -16

Combine like terms: 27 + -16 = 11
11w = 11

Divide each side by '11'.
w = 1

Simplifying
w = 1

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