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

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


Simplifying
4(4 + -1w) = 3(2w + -2)
(4 * 4 + -1w * 4) = 3(2w + -2)
(16 + -4w) = 3(2w + -2)

Reorder the terms:
16 + -4w = 3(-2 + 2w)
16 + -4w = (-2 * 3 + 2w * 3)
16 + -4w = (-6 + 6w)

Solving
16 + -4w = -6 + 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.
16 + -4w + -6w = -6 + 6w + -6w

Combine like terms: -4w + -6w = -10w
16 + -10w = -6 + 6w + -6w

Combine like terms: 6w + -6w = 0
16 + -10w = -6 + 0
16 + -10w = -6

Add '-16' to each side of the equation.
16 + -16 + -10w = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -10w = -6 + -16
-10w = -6 + -16

Combine like terms: -6 + -16 = -22
-10w = -22

Divide each side by '-10'.
w = 2.2

Simplifying
w = 2.2

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