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

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


Simplifying
3(11 + -1w) = 3(3w + -9)
(11 * 3 + -1w * 3) = 3(3w + -9)
(33 + -3w) = 3(3w + -9)

Reorder the terms:
33 + -3w = 3(-9 + 3w)
33 + -3w = (-9 * 3 + 3w * 3)
33 + -3w = (-27 + 9w)

Solving
33 + -3w = -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.
33 + -3w + -9w = -27 + 9w + -9w

Combine like terms: -3w + -9w = -12w
33 + -12w = -27 + 9w + -9w

Combine like terms: 9w + -9w = 0
33 + -12w = -27 + 0
33 + -12w = -27

Add '-33' to each side of the equation.
33 + -33 + -12w = -27 + -33

Combine like terms: 33 + -33 = 0
0 + -12w = -27 + -33
-12w = -27 + -33

Combine like terms: -27 + -33 = -60
-12w = -60

Divide each side by '-12'.
w = 5

Simplifying
w = 5

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