3(w-2)-1=-5(-4w+2)-2w

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Solution for 3(w-2)-1=-5(-4w+2)-2w equation:


Simplifying
3(w + -2) + -1 = -5(-4w + 2) + -2w

Reorder the terms:
3(-2 + w) + -1 = -5(-4w + 2) + -2w
(-2 * 3 + w * 3) + -1 = -5(-4w + 2) + -2w
(-6 + 3w) + -1 = -5(-4w + 2) + -2w

Reorder the terms:
-6 + -1 + 3w = -5(-4w + 2) + -2w

Combine like terms: -6 + -1 = -7
-7 + 3w = -5(-4w + 2) + -2w

Reorder the terms:
-7 + 3w = -5(2 + -4w) + -2w
-7 + 3w = (2 * -5 + -4w * -5) + -2w
-7 + 3w = (-10 + 20w) + -2w

Combine like terms: 20w + -2w = 18w
-7 + 3w = -10 + 18w

Solving
-7 + 3w = -10 + 18w

Solving for variable 'w'.

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

Add '-18w' to each side of the equation.
-7 + 3w + -18w = -10 + 18w + -18w

Combine like terms: 3w + -18w = -15w
-7 + -15w = -10 + 18w + -18w

Combine like terms: 18w + -18w = 0
-7 + -15w = -10 + 0
-7 + -15w = -10

Add '7' to each side of the equation.
-7 + 7 + -15w = -10 + 7

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

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

Divide each side by '-15'.
w = 0.2

Simplifying
w = 0.2

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