4(2-0.5w)=24-2(0.8w-2.4)

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Solution for 4(2-0.5w)=24-2(0.8w-2.4) equation: 


Simplifying
4(2 + -0.5w) = 24 + -2(0.8w + -2.4)
(2 * 4 + -0.5w * 4) = 24 + -2(0.8w + -2.4)
(8 + -2w) = 24 + -2(0.8w + -2.4)

Reorder the terms:
8 + -2w = 24 + -2(-2.4 + 0.8w)
8 + -2w = 24 + (-2.4 * -2 + 0.8w * -2)
8 + -2w = 24 + (4.8 + -1.6w)

Combine like terms: 24 + 4.8 = 28.8
8 + -2w = 28.8 + -1.6w

Solving
8 + -2w = 28.8 + -1.6w

Solving for variable 'w'.

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

Add '1.6w' to each side of the equation.
8 + -2w + 1.6w = 28.8 + -1.6w + 1.6w

Combine like terms: -2w + 1.6w = -0.4w
8 + -0.4w = 28.8 + -1.6w + 1.6w

Combine like terms: -1.6w + 1.6w = 0.0
8 + -0.4w = 28.8 + 0.0
8 + -0.4w = 28.8

Add '-8' to each side of the equation.
8 + -8 + -0.4w = 28.8 + -8

Combine like terms: 8 + -8 = 0
0 + -0.4w = 28.8 + -8
-0.4w = 28.8 + -8

Combine like terms: 28.8 + -8 = 20.8
-0.4w = 20.8

Divide each side by '-0.4'.
w = -52

Simplifying
w = -52

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