6w-2(4+w)=w+7

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Solution for 6w-2(4+w)=w+7 equation:


Simplifying
6w + -2(4 + w) = w + 7
6w + (4 * -2 + w * -2) = w + 7
6w + (-8 + -2w) = w + 7

Reorder the terms:
-8 + 6w + -2w = w + 7

Combine like terms: 6w + -2w = 4w
-8 + 4w = w + 7

Reorder the terms:
-8 + 4w = 7 + w

Solving
-8 + 4w = 7 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
-8 + 4w + -1w = 7 + w + -1w

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

Combine like terms: w + -1w = 0
-8 + 3w = 7 + 0
-8 + 3w = 7

Add '8' to each side of the equation.
-8 + 8 + 3w = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 3w = 7 + 8
3w = 7 + 8

Combine like terms: 7 + 8 = 15
3w = 15

Divide each side by '3'.
w = 5

Simplifying
w = 5

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