8-1.2(w-9)=0.4(2w-9)

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Solution for 8-1.2(w-9)=0.4(2w-9) equation:


Simplifying
8 + -1.2(w + -9) = 0.4(2w + -9)

Reorder the terms:
8 + -1.2(-9 + w) = 0.4(2w + -9)
8 + (-9 * -1.2 + w * -1.2) = 0.4(2w + -9)
8 + (10.8 + -1.2w) = 0.4(2w + -9)

Combine like terms: 8 + 10.8 = 18.8
18.8 + -1.2w = 0.4(2w + -9)

Reorder the terms:
18.8 + -1.2w = 0.4(-9 + 2w)
18.8 + -1.2w = (-9 * 0.4 + 2w * 0.4)
18.8 + -1.2w = (-3.6 + 0.8w)

Solving
18.8 + -1.2w = -3.6 + 0.8w

Solving for variable 'w'.

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

Add '-0.8w' to each side of the equation.
18.8 + -1.2w + -0.8w = -3.6 + 0.8w + -0.8w

Combine like terms: -1.2w + -0.8w = -2w
18.8 + -2w = -3.6 + 0.8w + -0.8w

Combine like terms: 0.8w + -0.8w = 0.0
18.8 + -2w = -3.6 + 0.0
18.8 + -2w = -3.6

Add '-18.8' to each side of the equation.
18.8 + -18.8 + -2w = -3.6 + -18.8

Combine like terms: 18.8 + -18.8 = 0.0
0.0 + -2w = -3.6 + -18.8
-2w = -3.6 + -18.8

Combine like terms: -3.6 + -18.8 = -22.4
-2w = -22.4

Divide each side by '-2'.
w = 11.2

Simplifying
w = 11.2

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