3.2c+9.4-.8c=3(c-2.4)+7.6

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Solution for 3.2c+9.4-.8c=3(c-2.4)+7.6 equation: 


Simplifying
3.2c + 9.4 + -0.8c = 3(c + -2.4) + 7.6

Reorder the terms:
9.4 + 3.2c + -0.8c = 3(c + -2.4) + 7.6

Combine like terms: 3.2c + -0.8c = 2.4c
9.4 + 2.4c = 3(c + -2.4) + 7.6

Reorder the terms:
9.4 + 2.4c = 3(-2.4 + c) + 7.6
9.4 + 2.4c = (-2.4 * 3 + c * 3) + 7.6
9.4 + 2.4c = (-7.2 + 3c) + 7.6

Reorder the terms:
9.4 + 2.4c = -7.2 + 7.6 + 3c

Combine like terms: -7.2 + 7.6 = 0.4
9.4 + 2.4c = 0.4 + 3c

Solving
9.4 + 2.4c = 0.4 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
9.4 + 2.4c + -3c = 0.4 + 3c + -3c

Combine like terms: 2.4c + -3c = -0.6c
9.4 + -0.6c = 0.4 + 3c + -3c

Combine like terms: 3c + -3c = 0
9.4 + -0.6c = 0.4 + 0
9.4 + -0.6c = 0.4

Add '-9.4' to each side of the equation.
9.4 + -9.4 + -0.6c = 0.4 + -9.4

Combine like terms: 9.4 + -9.4 = 0.0
0.0 + -0.6c = 0.4 + -9.4
-0.6c = 0.4 + -9.4

Combine like terms: 0.4 + -9.4 = -9
-0.6c = -9

Divide each side by '-0.6'.
c = 15

Simplifying
c = 15

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