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

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


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

Reorder the terms:
4(-6 + w) = 2(3w + 6)
(-6 * 4 + w * 4) = 2(3w + 6)
(-24 + 4w) = 2(3w + 6)

Reorder the terms:
-24 + 4w = 2(6 + 3w)
-24 + 4w = (6 * 2 + 3w * 2)
-24 + 4w = (12 + 6w)

Solving
-24 + 4w = 12 + 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.
-24 + 4w + -6w = 12 + 6w + -6w

Combine like terms: 4w + -6w = -2w
-24 + -2w = 12 + 6w + -6w

Combine like terms: 6w + -6w = 0
-24 + -2w = 12 + 0
-24 + -2w = 12

Add '24' to each side of the equation.
-24 + 24 + -2w = 12 + 24

Combine like terms: -24 + 24 = 0
0 + -2w = 12 + 24
-2w = 12 + 24

Combine like terms: 12 + 24 = 36
-2w = 36

Divide each side by '-2'.
w = -18

Simplifying
w = -18

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