5(w-7)=9w-15

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Solution for 5(w-7)=9w-15 equation:


Simplifying
5(w + -7) = 9w + -15

Reorder the terms:
5(-7 + w) = 9w + -15
(-7 * 5 + w * 5) = 9w + -15
(-35 + 5w) = 9w + -15

Reorder the terms:
-35 + 5w = -15 + 9w

Solving
-35 + 5w = -15 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
-35 + 5w + -9w = -15 + 9w + -9w

Combine like terms: 5w + -9w = -4w
-35 + -4w = -15 + 9w + -9w

Combine like terms: 9w + -9w = 0
-35 + -4w = -15 + 0
-35 + -4w = -15

Add '35' to each side of the equation.
-35 + 35 + -4w = -15 + 35

Combine like terms: -35 + 35 = 0
0 + -4w = -15 + 35
-4w = -15 + 35

Combine like terms: -15 + 35 = 20
-4w = 20

Divide each side by '-4'.
w = -5

Simplifying
w = -5

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