-2(6w-9)+4w=2(w+3)

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Solution for -2(6w-9)+4w=2(w+3) equation:


Simplifying
-2(6w + -9) + 4w = 2(w + 3)

Reorder the terms:
-2(-9 + 6w) + 4w = 2(w + 3)
(-9 * -2 + 6w * -2) + 4w = 2(w + 3)
(18 + -12w) + 4w = 2(w + 3)

Combine like terms: -12w + 4w = -8w
18 + -8w = 2(w + 3)

Reorder the terms:
18 + -8w = 2(3 + w)
18 + -8w = (3 * 2 + w * 2)
18 + -8w = (6 + 2w)

Solving
18 + -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.
18 + -8w + -2w = 6 + 2w + -2w

Combine like terms: -8w + -2w = -10w
18 + -10w = 6 + 2w + -2w

Combine like terms: 2w + -2w = 0
18 + -10w = 6 + 0
18 + -10w = 6

Add '-18' to each side of the equation.
18 + -18 + -10w = 6 + -18

Combine like terms: 18 + -18 = 0
0 + -10w = 6 + -18
-10w = 6 + -18

Combine like terms: 6 + -18 = -12
-10w = -12

Divide each side by '-10'.
w = 1.2

Simplifying
w = 1.2

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