-3(2w-6)=4(w-8)

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Solution for -3(2w-6)=4(w-8) equation:


Simplifying
-3(2w + -6) = 4(w + -8)

Reorder the terms:
-3(-6 + 2w) = 4(w + -8)
(-6 * -3 + 2w * -3) = 4(w + -8)
(18 + -6w) = 4(w + -8)

Reorder the terms:
18 + -6w = 4(-8 + w)
18 + -6w = (-8 * 4 + w * 4)
18 + -6w = (-32 + 4w)

Solving
18 + -6w = -32 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
18 + -6w + -4w = -32 + 4w + -4w

Combine like terms: -6w + -4w = -10w
18 + -10w = -32 + 4w + -4w

Combine like terms: 4w + -4w = 0
18 + -10w = -32 + 0
18 + -10w = -32

Add '-18' to each side of the equation.
18 + -18 + -10w = -32 + -18

Combine like terms: 18 + -18 = 0
0 + -10w = -32 + -18
-10w = -32 + -18

Combine like terms: -32 + -18 = -50
-10w = -50

Divide each side by '-10'.
w = 5

Simplifying
w = 5

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