.04(2c-56)=.8(c-6)

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Solution for .04(2c-56)=.8(c-6) equation: 


Simplifying
0.04(2c + -56) = 0.8(c + -6)

Reorder the terms:
0.04(-56 + 2c) = 0.8(c + -6)
(-56 * 0.04 + 2c * 0.04) = 0.8(c + -6)
(-2.24 + 0.08c) = 0.8(c + -6)

Reorder the terms:
-2.24 + 0.08c = 0.8(-6 + c)
-2.24 + 0.08c = (-6 * 0.8 + c * 0.8)
-2.24 + 0.08c = (-4.8 + 0.8c)

Solving
-2.24 + 0.08c = -4.8 + 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.
-2.24 + 0.08c + -0.8c = -4.8 + 0.8c + -0.8c

Combine like terms: 0.08c + -0.8c = -0.72c
-2.24 + -0.72c = -4.8 + 0.8c + -0.8c

Combine like terms: 0.8c + -0.8c = 0.0
-2.24 + -0.72c = -4.8 + 0.0
-2.24 + -0.72c = -4.8

Add '2.24' to each side of the equation.
-2.24 + 2.24 + -0.72c = -4.8 + 2.24

Combine like terms: -2.24 + 2.24 = 0.00
0.00 + -0.72c = -4.8 + 2.24
-0.72c = -4.8 + 2.24

Combine like terms: -4.8 + 2.24 = -2.56
-0.72c = -2.56

Divide each side by '-0.72'.
c = 3.555555556

Simplifying
c = 3.555555556

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