5w+3w-7+w=13

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Solution for 5w+3w-7+w=13 equation:


Simplifying
5w + 3w + -7 + w = 13

Reorder the terms:
-7 + 5w + 3w + w = 13

Combine like terms: 5w + 3w = 8w
-7 + 8w + w = 13

Combine like terms: 8w + w = 9w
-7 + 9w = 13

Solving
-7 + 9w = 13

Solving for variable 'w'.

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

Add '7' to each side of the equation.
-7 + 7 + 9w = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 9w = 13 + 7
9w = 13 + 7

Combine like terms: 13 + 7 = 20
9w = 20

Divide each side by '9'.
w = 2.222222222

Simplifying
w = 2.222222222

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