0.02(6c-62)=0.4(c-6)

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Solution for 0.02(6c-62)=0.4(c-6) equation: 


Simplifying
0.02(6c + -62) = 0.4(c + -6)

Reorder the terms:
0.02(-62 + 6c) = 0.4(c + -6)
(-62 * 0.02 + 6c * 0.02) = 0.4(c + -6)
(-1.24 + 0.12c) = 0.4(c + -6)

Reorder the terms:
-1.24 + 0.12c = 0.4(-6 + c)
-1.24 + 0.12c = (-6 * 0.4 + c * 0.4)
-1.24 + 0.12c = (-2.4 + 0.4c)

Solving
-1.24 + 0.12c = -2.4 + 0.4c

Solving for variable 'c'.

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

Add '-0.4c' to each side of the equation.
-1.24 + 0.12c + -0.4c = -2.4 + 0.4c + -0.4c

Combine like terms: 0.12c + -0.4c = -0.28c
-1.24 + -0.28c = -2.4 + 0.4c + -0.4c

Combine like terms: 0.4c + -0.4c = 0.0
-1.24 + -0.28c = -2.4 + 0.0
-1.24 + -0.28c = -2.4

Add '1.24' to each side of the equation.
-1.24 + 1.24 + -0.28c = -2.4 + 1.24

Combine like terms: -1.24 + 1.24 = 0.00
0.00 + -0.28c = -2.4 + 1.24
-0.28c = -2.4 + 1.24

Combine like terms: -2.4 + 1.24 = -1.16
-0.28c = -1.16

Divide each side by '-0.28'.
c = 4.142857143

Simplifying
c = 4.142857143

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