9(11-w)=3(3w-9)

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Solution for 9(11-w)=3(3w-9) equation:


Simplifying
9(11 + -1w) = 3(3w + -9)
(11 * 9 + -1w * 9) = 3(3w + -9)
(99 + -9w) = 3(3w + -9)

Reorder the terms:
99 + -9w = 3(-9 + 3w)
99 + -9w = (-9 * 3 + 3w * 3)
99 + -9w = (-27 + 9w)

Solving
99 + -9w = -27 + 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.
99 + -9w + -9w = -27 + 9w + -9w

Combine like terms: -9w + -9w = -18w
99 + -18w = -27 + 9w + -9w

Combine like terms: 9w + -9w = 0
99 + -18w = -27 + 0
99 + -18w = -27

Add '-99' to each side of the equation.
99 + -99 + -18w = -27 + -99

Combine like terms: 99 + -99 = 0
0 + -18w = -27 + -99
-18w = -27 + -99

Combine like terms: -27 + -99 = -126
-18w = -126

Divide each side by '-18'.
w = 7

Simplifying
w = 7

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