3(7-C)-2(5C+2)=12C+9

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Solution for 3(7-C)-2(5C+2)=12C+9 equation: 


Simplifying
3(7 + -1C) + -2(5C + 2) = 12C + 9
(7 * 3 + -1C * 3) + -2(5C + 2) = 12C + 9
(21 + -3C) + -2(5C + 2) = 12C + 9

Reorder the terms:
21 + -3C + -2(2 + 5C) = 12C + 9
21 + -3C + (2 * -2 + 5C * -2) = 12C + 9
21 + -3C + (-4 + -10C) = 12C + 9

Reorder the terms:
21 + -4 + -3C + -10C = 12C + 9

Combine like terms: 21 + -4 = 17
17 + -3C + -10C = 12C + 9

Combine like terms: -3C + -10C = -13C
17 + -13C = 12C + 9

Reorder the terms:
17 + -13C = 9 + 12C

Solving
17 + -13C = 9 + 12C

Solving for variable 'C'.

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

Add '-12C' to each side of the equation.
17 + -13C + -12C = 9 + 12C + -12C

Combine like terms: -13C + -12C = -25C
17 + -25C = 9 + 12C + -12C

Combine like terms: 12C + -12C = 0
17 + -25C = 9 + 0
17 + -25C = 9

Add '-17' to each side of the equation.
17 + -17 + -25C = 9 + -17

Combine like terms: 17 + -17 = 0
0 + -25C = 9 + -17
-25C = 9 + -17

Combine like terms: 9 + -17 = -8
-25C = -8

Divide each side by '-25'.
C = 0.32

Simplifying
C = 0.32

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