7w+6-w=9w-2w-3

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Solution for 7w+6-w=9w-2w-3 equation:


Simplifying
7w + 6 + -1w = 9w + -2w + -3

Reorder the terms:
6 + 7w + -1w = 9w + -2w + -3

Combine like terms: 7w + -1w = 6w
6 + 6w = 9w + -2w + -3

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

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

Solving
6 + 6w = -3 + 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.
6 + 6w + -7w = -3 + 7w + -7w

Combine like terms: 6w + -7w = -1w
6 + -1w = -3 + 7w + -7w

Combine like terms: 7w + -7w = 0
6 + -1w = -3 + 0
6 + -1w = -3

Add '-6' to each side of the equation.
6 + -6 + -1w = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = -3 + -6
-1w = -3 + -6

Combine like terms: -3 + -6 = -9
-1w = -9

Divide each side by '-1'.
w = 9

Simplifying
w = 9

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