9(w+5)=5w+13

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Solution for 9(w+5)=5w+13 equation:


Simplifying
9(w + 5) = 5w + 13

Reorder the terms:
9(5 + w) = 5w + 13
(5 * 9 + w * 9) = 5w + 13
(45 + 9w) = 5w + 13

Reorder the terms:
45 + 9w = 13 + 5w

Solving
45 + 9w = 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.
45 + 9w + -5w = 13 + 5w + -5w

Combine like terms: 9w + -5w = 4w
45 + 4w = 13 + 5w + -5w

Combine like terms: 5w + -5w = 0
45 + 4w = 13 + 0
45 + 4w = 13

Add '-45' to each side of the equation.
45 + -45 + 4w = 13 + -45

Combine like terms: 45 + -45 = 0
0 + 4w = 13 + -45
4w = 13 + -45

Combine like terms: 13 + -45 = -32
4w = -32

Divide each side by '4'.
w = -8

Simplifying
w = -8

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