0.02(6c-68)=-0.4(c-7)

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Solution for 0.02(6c-68)=-0.4(c-7) equation: 


Simplifying
0.02(6c + -68) = -0.4(c + -7)

Reorder the terms:
0.02(-68 + 6c) = -0.4(c + -7)
(-68 * 0.02 + 6c * 0.02) = -0.4(c + -7)
(-1.36 + 0.12c) = -0.4(c + -7)

Reorder the terms:
-1.36 + 0.12c = -0.4(-7 + c)
-1.36 + 0.12c = (-7 * -0.4 + c * -0.4)
-1.36 + 0.12c = (2.8 + -0.4c)

Solving
-1.36 + 0.12c = 2.8 + -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.
-1.36 + 0.12c + 0.4c = 2.8 + -0.4c + 0.4c

Combine like terms: 0.12c + 0.4c = 0.52c
-1.36 + 0.52c = 2.8 + -0.4c + 0.4c

Combine like terms: -0.4c + 0.4c = 0.0
-1.36 + 0.52c = 2.8 + 0.0
-1.36 + 0.52c = 2.8

Add '1.36' to each side of the equation.
-1.36 + 1.36 + 0.52c = 2.8 + 1.36

Combine like terms: -1.36 + 1.36 = 0.00
0.00 + 0.52c = 2.8 + 1.36
0.52c = 2.8 + 1.36

Combine like terms: 2.8 + 1.36 = 4.16
0.52c = 4.16

Divide each side by '0.52'.
c = 8

Simplifying
c = 8

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