9(w-3)=5w+9

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Solution for 9(w-3)=5w+9 equation:


Simplifying
9(w + -3) = 5w + 9

Reorder the terms:
9(-3 + w) = 5w + 9
(-3 * 9 + w * 9) = 5w + 9
(-27 + 9w) = 5w + 9

Reorder the terms:
-27 + 9w = 9 + 5w

Solving
-27 + 9w = 9 + 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.
-27 + 9w + -5w = 9 + 5w + -5w

Combine like terms: 9w + -5w = 4w
-27 + 4w = 9 + 5w + -5w

Combine like terms: 5w + -5w = 0
-27 + 4w = 9 + 0
-27 + 4w = 9

Add '27' to each side of the equation.
-27 + 27 + 4w = 9 + 27

Combine like terms: -27 + 27 = 0
0 + 4w = 9 + 27
4w = 9 + 27

Combine like terms: 9 + 27 = 36
4w = 36

Divide each side by '4'.
w = 9

Simplifying
w = 9

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