12-3w+7=-7w+14-9

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Solution for 12-3w+7=-7w+14-9 equation:


Simplifying
12 + -3w + 7 = -7w + 14 + -9

Reorder the terms:
12 + 7 + -3w = -7w + 14 + -9

Combine like terms: 12 + 7 = 19
19 + -3w = -7w + 14 + -9

Reorder the terms:
19 + -3w = 14 + -9 + -7w

Combine like terms: 14 + -9 = 5
19 + -3w = 5 + -7w

Solving
19 + -3w = 5 + -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.
19 + -3w + 7w = 5 + -7w + 7w

Combine like terms: -3w + 7w = 4w
19 + 4w = 5 + -7w + 7w

Combine like terms: -7w + 7w = 0
19 + 4w = 5 + 0
19 + 4w = 5

Add '-19' to each side of the equation.
19 + -19 + 4w = 5 + -19

Combine like terms: 19 + -19 = 0
0 + 4w = 5 + -19
4w = 5 + -19

Combine like terms: 5 + -19 = -14
4w = -14

Divide each side by '4'.
w = -3.5

Simplifying
w = -3.5

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