-3w+6=8w+9-2

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Solution for -3w+6=8w+9-2 equation:


Simplifying
-3w + 6 = 8w + 9 + -2

Reorder the terms:
6 + -3w = 8w + 9 + -2

Reorder the terms:
6 + -3w = 9 + -2 + 8w

Combine like terms: 9 + -2 = 7
6 + -3w = 7 + 8w

Solving
6 + -3w = 7 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
6 + -3w + -8w = 7 + 8w + -8w

Combine like terms: -3w + -8w = -11w
6 + -11w = 7 + 8w + -8w

Combine like terms: 8w + -8w = 0
6 + -11w = 7 + 0
6 + -11w = 7

Add '-6' to each side of the equation.
6 + -6 + -11w = 7 + -6

Combine like terms: 6 + -6 = 0
0 + -11w = 7 + -6
-11w = 7 + -6

Combine like terms: 7 + -6 = 1
-11w = 1

Divide each side by '-11'.
w = -0.09090909091

Simplifying
w = -0.09090909091

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