14-2(2w+1)=6w-2(6+w)

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Solution for 14-2(2w+1)=6w-2(6+w) equation: 


Simplifying
14 + -2(2w + 1) = 6w + -2(6 + w)

Reorder the terms:
14 + -2(1 + 2w) = 6w + -2(6 + w)
14 + (1 * -2 + 2w * -2) = 6w + -2(6 + w)
14 + (-2 + -4w) = 6w + -2(6 + w)

Combine like terms: 14 + -2 = 12
12 + -4w = 6w + -2(6 + w)
12 + -4w = 6w + (6 * -2 + w * -2)
12 + -4w = 6w + (-12 + -2w)

Reorder the terms:
12 + -4w = -12 + 6w + -2w

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

Solving
12 + -4w = -12 + 4w

Solving for variable 'w'.

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

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

Combine like terms: -4w + -4w = -8w
12 + -8w = -12 + 4w + -4w

Combine like terms: 4w + -4w = 0
12 + -8w = -12 + 0
12 + -8w = -12

Add '-12' to each side of the equation.
12 + -12 + -8w = -12 + -12

Combine like terms: 12 + -12 = 0
0 + -8w = -12 + -12
-8w = -12 + -12

Combine like terms: -12 + -12 = -24
-8w = -24

Divide each side by '-8'.
w = 3

Simplifying
w = 3

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