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

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


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

Reorder the terms:
-3(-4 + 2w) + 6w = 6 + 2(3w + -2)
(-4 * -3 + 2w * -3) + 6w = 6 + 2(3w + -2)
(12 + -6w) + 6w = 6 + 2(3w + -2)

Combine like terms: -6w + 6w = 0
12 + 0 = 6 + 2(3w + -2)
12 = 6 + 2(3w + -2)

Reorder the terms:
12 = 6 + 2(-2 + 3w)
12 = 6 + (-2 * 2 + 3w * 2)
12 = 6 + (-4 + 6w)

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

Solving
12 = 2 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
12 + -6w = 2 + 6w + -6w

Combine like terms: 6w + -6w = 0
12 + -6w = 2 + 0
12 + -6w = 2

Add '-12' to each side of the equation.
12 + -12 + -6w = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -6w = 2 + -12
-6w = 2 + -12

Combine like terms: 2 + -12 = -10
-6w = -10

Divide each side by '-6'.
w = 1.666666667

Simplifying
w = 1.666666667

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