5w-9+3w-9w-4+w=6w+2-w

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Solution for 5w-9+3w-9w-4+w=6w+2-w equation:


Simplifying
5w + -9 + 3w + -9w + -4 + w = 6w + 2 + -1w

Reorder the terms:
-9 + -4 + 5w + 3w + -9w + w = 6w + 2 + -1w

Combine like terms: -9 + -4 = -13
-13 + 5w + 3w + -9w + w = 6w + 2 + -1w

Combine like terms: 5w + 3w = 8w
-13 + 8w + -9w + w = 6w + 2 + -1w

Combine like terms: 8w + -9w = -1w
-13 + -1w + w = 6w + 2 + -1w

Combine like terms: -1w + w = 0
-13 + 0 = 6w + 2 + -1w
-13 = 6w + 2 + -1w

Reorder the terms:
-13 = 2 + 6w + -1w

Combine like terms: 6w + -1w = 5w
-13 = 2 + 5w

Solving
-13 = 2 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
-13 + -5w = 2 + 5w + -5w

Combine like terms: 5w + -5w = 0
-13 + -5w = 2 + 0
-13 + -5w = 2

Add '13' to each side of the equation.
-13 + 13 + -5w = 2 + 13

Combine like terms: -13 + 13 = 0
0 + -5w = 2 + 13
-5w = 2 + 13

Combine like terms: 2 + 13 = 15
-5w = 15

Divide each side by '-5'.
w = -3

Simplifying
w = -3

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