5(w-8)-2=3(-4w+8)-3w

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Solution for 5(w-8)-2=3(-4w+8)-3w equation:


Simplifying
5(w + -8) + -2 = 3(-4w + 8) + -3w

Reorder the terms:
5(-8 + w) + -2 = 3(-4w + 8) + -3w
(-8 * 5 + w * 5) + -2 = 3(-4w + 8) + -3w
(-40 + 5w) + -2 = 3(-4w + 8) + -3w

Reorder the terms:
-40 + -2 + 5w = 3(-4w + 8) + -3w

Combine like terms: -40 + -2 = -42
-42 + 5w = 3(-4w + 8) + -3w

Reorder the terms:
-42 + 5w = 3(8 + -4w) + -3w
-42 + 5w = (8 * 3 + -4w * 3) + -3w
-42 + 5w = (24 + -12w) + -3w

Combine like terms: -12w + -3w = -15w
-42 + 5w = 24 + -15w

Solving
-42 + 5w = 24 + -15w

Solving for variable 'w'.

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

Add '15w' to each side of the equation.
-42 + 5w + 15w = 24 + -15w + 15w

Combine like terms: 5w + 15w = 20w
-42 + 20w = 24 + -15w + 15w

Combine like terms: -15w + 15w = 0
-42 + 20w = 24 + 0
-42 + 20w = 24

Add '42' to each side of the equation.
-42 + 42 + 20w = 24 + 42

Combine like terms: -42 + 42 = 0
0 + 20w = 24 + 42
20w = 24 + 42

Combine like terms: 24 + 42 = 66
20w = 66

Divide each side by '20'.
w = 3.3

Simplifying
w = 3.3

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