6w-[5w-3(w-4)]=2(1-w)+5

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Solution for 6w-[5w-3(w-4)]=2(1-w)+5 equation:


Simplifying
6w + -1[5w + -3(w + -4)] = 2(1 + -1w) + 5

Reorder the terms:
6w + -1[5w + -3(-4 + w)] = 2(1 + -1w) + 5
6w + -1[5w + (-4 * -3 + w * -3)] = 2(1 + -1w) + 5
6w + -1[5w + (12 + -3w)] = 2(1 + -1w) + 5

Reorder the terms:
6w + -1[12 + 5w + -3w] = 2(1 + -1w) + 5

Combine like terms: 5w + -3w = 2w
6w + -1[12 + 2w] = 2(1 + -1w) + 5
6w + [12 * -1 + 2w * -1] = 2(1 + -1w) + 5
6w + [-12 + -2w] = 2(1 + -1w) + 5

Reorder the terms:
-12 + 6w + -2w = 2(1 + -1w) + 5

Combine like terms: 6w + -2w = 4w
-12 + 4w = 2(1 + -1w) + 5
-12 + 4w = (1 * 2 + -1w * 2) + 5
-12 + 4w = (2 + -2w) + 5

Reorder the terms:
-12 + 4w = 2 + 5 + -2w

Combine like terms: 2 + 5 = 7
-12 + 4w = 7 + -2w

Solving
-12 + 4w = 7 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
-12 + 4w + 2w = 7 + -2w + 2w

Combine like terms: 4w + 2w = 6w
-12 + 6w = 7 + -2w + 2w

Combine like terms: -2w + 2w = 0
-12 + 6w = 7 + 0
-12 + 6w = 7

Add '12' to each side of the equation.
-12 + 12 + 6w = 7 + 12

Combine like terms: -12 + 12 = 0
0 + 6w = 7 + 12
6w = 7 + 12

Combine like terms: 7 + 12 = 19
6w = 19

Divide each side by '6'.
w = 3.166666667

Simplifying
w = 3.166666667

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