0.03(6c-78)=-0.9(c-1)

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Solution for 0.03(6c-78)=-0.9(c-1) equation: 


Simplifying
0.03(6c + -78) = -0.9(c + -1)

Reorder the terms:
0.03(-78 + 6c) = -0.9(c + -1)
(-78 * 0.03 + 6c * 0.03) = -0.9(c + -1)
(-2.34 + 0.18c) = -0.9(c + -1)

Reorder the terms:
-2.34 + 0.18c = -0.9(-1 + c)
-2.34 + 0.18c = (-1 * -0.9 + c * -0.9)
-2.34 + 0.18c = (0.9 + -0.9c)

Solving
-2.34 + 0.18c = 0.9 + -0.9c

Solving for variable 'c'.

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

Add '0.9c' to each side of the equation.
-2.34 + 0.18c + 0.9c = 0.9 + -0.9c + 0.9c

Combine like terms: 0.18c + 0.9c = 1.08c
-2.34 + 1.08c = 0.9 + -0.9c + 0.9c

Combine like terms: -0.9c + 0.9c = 0.0
-2.34 + 1.08c = 0.9 + 0.0
-2.34 + 1.08c = 0.9

Add '2.34' to each side of the equation.
-2.34 + 2.34 + 1.08c = 0.9 + 2.34

Combine like terms: -2.34 + 2.34 = 0.00
0.00 + 1.08c = 0.9 + 2.34
1.08c = 0.9 + 2.34

Combine like terms: 0.9 + 2.34 = 3.24
1.08c = 3.24

Divide each side by '1.08'.
c = 3

Simplifying
c = 3

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