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

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


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

Reorder the terms:
1 + 2(-4 + 2w) = -3(5w + -1) + 4w
1 + (-4 * 2 + 2w * 2) = -3(5w + -1) + 4w
1 + (-8 + 4w) = -3(5w + -1) + 4w

Combine like terms: 1 + -8 = -7
-7 + 4w = -3(5w + -1) + 4w

Reorder the terms:
-7 + 4w = -3(-1 + 5w) + 4w
-7 + 4w = (-1 * -3 + 5w * -3) + 4w
-7 + 4w = (3 + -15w) + 4w

Combine like terms: -15w + 4w = -11w
-7 + 4w = 3 + -11w

Solving
-7 + 4w = 3 + -11w

Solving for variable 'w'.

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

Add '11w' to each side of the equation.
-7 + 4w + 11w = 3 + -11w + 11w

Combine like terms: 4w + 11w = 15w
-7 + 15w = 3 + -11w + 11w

Combine like terms: -11w + 11w = 0
-7 + 15w = 3 + 0
-7 + 15w = 3

Add '7' to each side of the equation.
-7 + 7 + 15w = 3 + 7

Combine like terms: -7 + 7 = 0
0 + 15w = 3 + 7
15w = 3 + 7

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

Divide each side by '15'.
w = 0.6666666667

Simplifying
w = 0.6666666667

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