-0.8(w-8)=0.4(3w-9)

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Solution for -0.8(w-8)=0.4(3w-9) equation: 


Simplifying
-0.8(w + -8) = 0.4(3w + -9)

Reorder the terms:
-0.8(-8 + w) = 0.4(3w + -9)
(-8 * -0.8 + w * -0.8) = 0.4(3w + -9)
(6.4 + -0.8w) = 0.4(3w + -9)

Reorder the terms:
6.4 + -0.8w = 0.4(-9 + 3w)
6.4 + -0.8w = (-9 * 0.4 + 3w * 0.4)
6.4 + -0.8w = (-3.6 + 1.2w)

Solving
6.4 + -0.8w = -3.6 + 1.2w

Solving for variable 'w'.

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

Add '-1.2w' to each side of the equation.
6.4 + -0.8w + -1.2w = -3.6 + 1.2w + -1.2w

Combine like terms: -0.8w + -1.2w = -2w
6.4 + -2w = -3.6 + 1.2w + -1.2w

Combine like terms: 1.2w + -1.2w = 0.0
6.4 + -2w = -3.6 + 0.0
6.4 + -2w = -3.6

Add '-6.4' to each side of the equation.
6.4 + -6.4 + -2w = -3.6 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + -2w = -3.6 + -6.4
-2w = -3.6 + -6.4

Combine like terms: -3.6 + -6.4 = -10
-2w = -10

Divide each side by '-2'.
w = 5

Simplifying
w = 5

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