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

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


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

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

Reorder the terms:
24 + 2w + -3w = 3(w + 2) + -2

Combine like terms: 2w + -3w = -1w
24 + -1w = 3(w + 2) + -2

Reorder the terms:
24 + -1w = 3(2 + w) + -2
24 + -1w = (2 * 3 + w * 3) + -2
24 + -1w = (6 + 3w) + -2

Reorder the terms:
24 + -1w = 6 + -2 + 3w

Combine like terms: 6 + -2 = 4
24 + -1w = 4 + 3w

Solving
24 + -1w = 4 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
24 + -1w + -3w = 4 + 3w + -3w

Combine like terms: -1w + -3w = -4w
24 + -4w = 4 + 3w + -3w

Combine like terms: 3w + -3w = 0
24 + -4w = 4 + 0
24 + -4w = 4

Add '-24' to each side of the equation.
24 + -24 + -4w = 4 + -24

Combine like terms: 24 + -24 = 0
0 + -4w = 4 + -24
-4w = 4 + -24

Combine like terms: 4 + -24 = -20
-4w = -20

Divide each side by '-4'.
w = 5

Simplifying
w = 5

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