5w+8-w=6-2(w-4)

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Solution for 5w+8-w=6-2(w-4) equation:


Simplifying
5w + 8 + -1w = 6 + -2(w + -4)

Reorder the terms:
8 + 5w + -1w = 6 + -2(w + -4)

Combine like terms: 5w + -1w = 4w
8 + 4w = 6 + -2(w + -4)

Reorder the terms:
8 + 4w = 6 + -2(-4 + w)
8 + 4w = 6 + (-4 * -2 + w * -2)
8 + 4w = 6 + (8 + -2w)

Combine like terms: 6 + 8 = 14
8 + 4w = 14 + -2w

Solving
8 + 4w = 14 + -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.
8 + 4w + 2w = 14 + -2w + 2w

Combine like terms: 4w + 2w = 6w
8 + 6w = 14 + -2w + 2w

Combine like terms: -2w + 2w = 0
8 + 6w = 14 + 0
8 + 6w = 14

Add '-8' to each side of the equation.
8 + -8 + 6w = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 6w = 14 + -8
6w = 14 + -8

Combine like terms: 14 + -8 = 6
6w = 6

Divide each side by '6'.
w = 1

Simplifying
w = 1

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