0.4(2c-30)=-0.8(c-4)

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Solution for 0.4(2c-30)=-0.8(c-4) equation: 


Simplifying
0.4(2c + -30) = -0.8(c + -4)

Reorder the terms:
0.4(-30 + 2c) = -0.8(c + -4)
(-30 * 0.4 + 2c * 0.4) = -0.8(c + -4)
(-12 + 0.8c) = -0.8(c + -4)

Reorder the terms:
-12 + 0.8c = -0.8(-4 + c)
-12 + 0.8c = (-4 * -0.8 + c * -0.8)
-12 + 0.8c = (3.2 + -0.8c)

Solving
-12 + 0.8c = 3.2 + -0.8c

Solving for variable 'c'.

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

Add '0.8c' to each side of the equation.
-12 + 0.8c + 0.8c = 3.2 + -0.8c + 0.8c

Combine like terms: 0.8c + 0.8c = 1.6c
-12 + 1.6c = 3.2 + -0.8c + 0.8c

Combine like terms: -0.8c + 0.8c = 0.0
-12 + 1.6c = 3.2 + 0.0
-12 + 1.6c = 3.2

Add '12' to each side of the equation.
-12 + 12 + 1.6c = 3.2 + 12

Combine like terms: -12 + 12 = 0
0 + 1.6c = 3.2 + 12
1.6c = 3.2 + 12

Combine like terms: 3.2 + 12 = 15.2
1.6c = 15.2

Divide each side by '1.6'.
c = 9.5

Simplifying
c = 9.5

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