0.04(4c-48)=-0.8(c-6)

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Solution for 0.04(4c-48)=-0.8(c-6) equation: 


Simplifying
0.04(4c + -48) = -0.8(c + -6)

Reorder the terms:
0.04(-48 + 4c) = -0.8(c + -6)
(-48 * 0.04 + 4c * 0.04) = -0.8(c + -6)
(-1.92 + 0.16c) = -0.8(c + -6)

Reorder the terms:
-1.92 + 0.16c = -0.8(-6 + c)
-1.92 + 0.16c = (-6 * -0.8 + c * -0.8)
-1.92 + 0.16c = (4.8 + -0.8c)

Solving
-1.92 + 0.16c = 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.
-1.92 + 0.16c + 0.8c = 4.8 + -0.8c + 0.8c

Combine like terms: 0.16c + 0.8c = 0.96c
-1.92 + 0.96c = 4.8 + -0.8c + 0.8c

Combine like terms: -0.8c + 0.8c = 0.0
-1.92 + 0.96c = 4.8 + 0.0
-1.92 + 0.96c = 4.8

Add '1.92' to each side of the equation.
-1.92 + 1.92 + 0.96c = 4.8 + 1.92

Combine like terms: -1.92 + 1.92 = 0.00
0.00 + 0.96c = 4.8 + 1.92
0.96c = 4.8 + 1.92

Combine like terms: 4.8 + 1.92 = 6.72
0.96c = 6.72

Divide each side by '0.96'.
c = 7

Simplifying
c = 7

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