w+14+2w+7+4w+2=3w-5

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Solution for w+14+2w+7+4w+2=3w-5 equation: 


Simplifying
w + 14 + 2w + 7 + 4w + 2 = 3w + -5

Reorder the terms:
14 + 7 + 2 + w + 2w + 4w = 3w + -5

Combine like terms: 14 + 7 = 21
21 + 2 + w + 2w + 4w = 3w + -5

Combine like terms: 21 + 2 = 23
23 + w + 2w + 4w = 3w + -5

Combine like terms: w + 2w = 3w
23 + 3w + 4w = 3w + -5

Combine like terms: 3w + 4w = 7w
23 + 7w = 3w + -5

Reorder the terms:
23 + 7w = -5 + 3w

Solving
23 + 7w = -5 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
23 + 7w + -3w = -5 + 3w + -3w

Combine like terms: 7w + -3w = 4w
23 + 4w = -5 + 3w + -3w

Combine like terms: 3w + -3w = 0
23 + 4w = -5 + 0
23 + 4w = -5

Add '-23' to each side of the equation.
23 + -23 + 4w = -5 + -23

Combine like terms: 23 + -23 = 0
0 + 4w = -5 + -23
4w = -5 + -23

Combine like terms: -5 + -23 = -28
4w = -28

Divide each side by '4'.
w = -7

Simplifying
w = -7

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