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

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


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

Reorder the terms:
6(2 + w) = -4(2w + 4) + 8w
(2 * 6 + w * 6) = -4(2w + 4) + 8w
(12 + 6w) = -4(2w + 4) + 8w

Reorder the terms:
12 + 6w = -4(4 + 2w) + 8w
12 + 6w = (4 * -4 + 2w * -4) + 8w
12 + 6w = (-16 + -8w) + 8w

Combine like terms: -8w + 8w = 0
12 + 6w = -16 + 0
12 + 6w = -16

Solving
12 + 6w = -16

Solving for variable 'w'.

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

Add '-12' to each side of the equation.
12 + -12 + 6w = -16 + -12

Combine like terms: 12 + -12 = 0
0 + 6w = -16 + -12
6w = -16 + -12

Combine like terms: -16 + -12 = -28
6w = -28

Divide each side by '6'.
w = -4.666666667

Simplifying
w = -4.666666667

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