0.4(7c+5)=3.1c-2.2

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Solution for 0.4(7c+5)=3.1c-2.2 equation: 


Simplifying
0.4(7c + 5) = 3.1c + -2.2

Reorder the terms:
0.4(5 + 7c) = 3.1c + -2.2
(5 * 0.4 + 7c * 0.4) = 3.1c + -2.2
(2 + 2.8c) = 3.1c + -2.2

Reorder the terms:
2 + 2.8c = -2.2 + 3.1c

Solving
2 + 2.8c = -2.2 + 3.1c

Solving for variable 'c'.

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

Add '-3.1c' to each side of the equation.
2 + 2.8c + -3.1c = -2.2 + 3.1c + -3.1c

Combine like terms: 2.8c + -3.1c = -0.3c
2 + -0.3c = -2.2 + 3.1c + -3.1c

Combine like terms: 3.1c + -3.1c = 0.0
2 + -0.3c = -2.2 + 0.0
2 + -0.3c = -2.2

Add '-2' to each side of the equation.
2 + -2 + -0.3c = -2.2 + -2

Combine like terms: 2 + -2 = 0
0 + -0.3c = -2.2 + -2
-0.3c = -2.2 + -2

Combine like terms: -2.2 + -2 = -4.2
-0.3c = -4.2

Divide each side by '-0.3'.
c = 14

Simplifying
c = 14

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