6+2(4w-7)=-2(2w-3)+2w

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Solution for 6+2(4w-7)=-2(2w-3)+2w equation:


Simplifying
6 + 2(4w + -7) = -2(2w + -3) + 2w

Reorder the terms:
6 + 2(-7 + 4w) = -2(2w + -3) + 2w
6 + (-7 * 2 + 4w * 2) = -2(2w + -3) + 2w
6 + (-14 + 8w) = -2(2w + -3) + 2w

Combine like terms: 6 + -14 = -8
-8 + 8w = -2(2w + -3) + 2w

Reorder the terms:
-8 + 8w = -2(-3 + 2w) + 2w
-8 + 8w = (-3 * -2 + 2w * -2) + 2w
-8 + 8w = (6 + -4w) + 2w

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

Solving
-8 + 8w = 6 + -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 + 8w + 2w = 6 + -2w + 2w

Combine like terms: 8w + 2w = 10w
-8 + 10w = 6 + -2w + 2w

Combine like terms: -2w + 2w = 0
-8 + 10w = 6 + 0
-8 + 10w = 6

Add '8' to each side of the equation.
-8 + 8 + 10w = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 10w = 6 + 8
10w = 6 + 8

Combine like terms: 6 + 8 = 14
10w = 14

Divide each side by '10'.
w = 1.4

Simplifying
w = 1.4

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