22=5w-13

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Solution for 22=5w-13 equation:


Simplifying
22 = 5w + -13

Reorder the terms:
22 = -13 + 5w

Solving
22 = -13 + 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.
22 + -5w = -13 + 5w + -5w

Combine like terms: 5w + -5w = 0
22 + -5w = -13 + 0
22 + -5w = -13

Add '-22' to each side of the equation.
22 + -22 + -5w = -13 + -22

Combine like terms: 22 + -22 = 0
0 + -5w = -13 + -22
-5w = -13 + -22

Combine like terms: -13 + -22 = -35
-5w = -35

Divide each side by '-5'.
w = 7

Simplifying
w = 7

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