1.66(3c-3)=0.2(20c+5)

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Solution for 1.66(3c-3)=0.2(20c+5) equation: 


Simplifying
1.66(3c + -3) = 0.2(20c + 5)

Reorder the terms:
1.66(-3 + 3c) = 0.2(20c + 5)
(-3 * 1.66 + 3c * 1.66) = 0.2(20c + 5)
(-4.98 + 4.98c) = 0.2(20c + 5)

Reorder the terms:
-4.98 + 4.98c = 0.2(5 + 20c)
-4.98 + 4.98c = (5 * 0.2 + 20c * 0.2)
-4.98 + 4.98c = (1 + 4c)

Solving
-4.98 + 4.98c = 1 + 4c

Solving for variable 'c'.

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

Add '-4c' to each side of the equation.
-4.98 + 4.98c + -4c = 1 + 4c + -4c

Combine like terms: 4.98c + -4c = 0.98c
-4.98 + 0.98c = 1 + 4c + -4c

Combine like terms: 4c + -4c = 0
-4.98 + 0.98c = 1 + 0
-4.98 + 0.98c = 1

Add '4.98' to each side of the equation.
-4.98 + 4.98 + 0.98c = 1 + 4.98

Combine like terms: -4.98 + 4.98 = 0.00
0.00 + 0.98c = 1 + 4.98
0.98c = 1 + 4.98

Combine like terms: 1 + 4.98 = 5.98
0.98c = 5.98

Divide each side by '0.98'.
c = 6.102040816

Simplifying
c = 6.102040816

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