w+14+2w+17+4w+2=3w-5

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Solution for w+14+2w+17+4w+2=3w-5 equation:


Simplifying
w + 14 + 2w + 17 + 4w + 2 = 3w + -5

Reorder the terms:
14 + 17 + 2 + w + 2w + 4w = 3w + -5

Combine like terms: 14 + 17 = 31
31 + 2 + w + 2w + 4w = 3w + -5

Combine like terms: 31 + 2 = 33
33 + w + 2w + 4w = 3w + -5

Combine like terms: w + 2w = 3w
33 + 3w + 4w = 3w + -5

Combine like terms: 3w + 4w = 7w
33 + 7w = 3w + -5

Reorder the terms:
33 + 7w = -5 + 3w

Solving
33 + 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.
33 + 7w + -3w = -5 + 3w + -3w

Combine like terms: 7w + -3w = 4w
33 + 4w = -5 + 3w + -3w

Combine like terms: 3w + -3w = 0
33 + 4w = -5 + 0
33 + 4w = -5

Add '-33' to each side of the equation.
33 + -33 + 4w = -5 + -33

Combine like terms: 33 + -33 = 0
0 + 4w = -5 + -33
4w = -5 + -33

Combine like terms: -5 + -33 = -38
4w = -38

Divide each side by '4'.
w = -9.5

Simplifying
w = -9.5

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