3(8-w)-9=5w-5(3w-6)

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Solution for 3(8-w)-9=5w-5(3w-6) equation:


Simplifying
3(8 + -1w) + -9 = 5w + -5(3w + -6)
(8 * 3 + -1w * 3) + -9 = 5w + -5(3w + -6)
(24 + -3w) + -9 = 5w + -5(3w + -6)

Reorder the terms:
24 + -9 + -3w = 5w + -5(3w + -6)

Combine like terms: 24 + -9 = 15
15 + -3w = 5w + -5(3w + -6)

Reorder the terms:
15 + -3w = 5w + -5(-6 + 3w)
15 + -3w = 5w + (-6 * -5 + 3w * -5)
15 + -3w = 5w + (30 + -15w)

Reorder the terms:
15 + -3w = 30 + 5w + -15w

Combine like terms: 5w + -15w = -10w
15 + -3w = 30 + -10w

Solving
15 + -3w = 30 + -10w

Solving for variable 'w'.

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

Add '10w' to each side of the equation.
15 + -3w + 10w = 30 + -10w + 10w

Combine like terms: -3w + 10w = 7w
15 + 7w = 30 + -10w + 10w

Combine like terms: -10w + 10w = 0
15 + 7w = 30 + 0
15 + 7w = 30

Add '-15' to each side of the equation.
15 + -15 + 7w = 30 + -15

Combine like terms: 15 + -15 = 0
0 + 7w = 30 + -15
7w = 30 + -15

Combine like terms: 30 + -15 = 15
7w = 15

Divide each side by '7'.
w = 2.142857143

Simplifying
w = 2.142857143

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