9(w-5)=8(9+w)

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Solution for 9(w-5)=8(9+w) equation:


Simplifying
9(w + -5) = 8(9 + w)

Reorder the terms:
9(-5 + w) = 8(9 + w)
(-5 * 9 + w * 9) = 8(9 + w)
(-45 + 9w) = 8(9 + w)
-45 + 9w = (9 * 8 + w * 8)
-45 + 9w = (72 + 8w)

Solving
-45 + 9w = 72 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
-45 + 9w + -8w = 72 + 8w + -8w

Combine like terms: 9w + -8w = 1w
-45 + 1w = 72 + 8w + -8w

Combine like terms: 8w + -8w = 0
-45 + 1w = 72 + 0
-45 + 1w = 72

Add '45' to each side of the equation.
-45 + 45 + 1w = 72 + 45

Combine like terms: -45 + 45 = 0
0 + 1w = 72 + 45
1w = 72 + 45

Combine like terms: 72 + 45 = 117
1w = 117

Divide each side by '1'.
w = 117

Simplifying
w = 117

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