8(3w-9)=2(3w+9)

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Solution for 8(3w-9)=2(3w+9) equation:


Simplifying
8(3w + -9) = 2(3w + 9)

Reorder the terms:
8(-9 + 3w) = 2(3w + 9)
(-9 * 8 + 3w * 8) = 2(3w + 9)
(-72 + 24w) = 2(3w + 9)

Reorder the terms:
-72 + 24w = 2(9 + 3w)
-72 + 24w = (9 * 2 + 3w * 2)
-72 + 24w = (18 + 6w)

Solving
-72 + 24w = 18 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-72 + 24w + -6w = 18 + 6w + -6w

Combine like terms: 24w + -6w = 18w
-72 + 18w = 18 + 6w + -6w

Combine like terms: 6w + -6w = 0
-72 + 18w = 18 + 0
-72 + 18w = 18

Add '72' to each side of the equation.
-72 + 72 + 18w = 18 + 72

Combine like terms: -72 + 72 = 0
0 + 18w = 18 + 72
18w = 18 + 72

Combine like terms: 18 + 72 = 90
18w = 90

Divide each side by '18'.
w = 5

Simplifying
w = 5

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