2w-5+7w=11-3w+4w

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Solution for 2w-5+7w=11-3w+4w equation:


Simplifying
2w + -5 + 7w = 11 + -3w + 4w

Reorder the terms:
-5 + 2w + 7w = 11 + -3w + 4w

Combine like terms: 2w + 7w = 9w
-5 + 9w = 11 + -3w + 4w

Combine like terms: -3w + 4w = 1w
-5 + 9w = 11 + 1w

Solving
-5 + 9w = 11 + 1w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
-5 + 9w + -1w = 11 + 1w + -1w

Combine like terms: 9w + -1w = 8w
-5 + 8w = 11 + 1w + -1w

Combine like terms: 1w + -1w = 0
-5 + 8w = 11 + 0
-5 + 8w = 11

Add '5' to each side of the equation.
-5 + 5 + 8w = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 8w = 11 + 5
8w = 11 + 5

Combine like terms: 11 + 5 = 16
8w = 16

Divide each side by '8'.
w = 2

Simplifying
w = 2

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