2+3(4+C)=1-5(6-C)

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Solution for 2+3(4+C)=1-5(6-C) equation: 


Simplifying
2 + 3(4 + C) = 1 + -5(6 + -1C)
2 + (4 * 3 + C * 3) = 1 + -5(6 + -1C)
2 + (12 + 3C) = 1 + -5(6 + -1C)

Combine like terms: 2 + 12 = 14
14 + 3C = 1 + -5(6 + -1C)
14 + 3C = 1 + (6 * -5 + -1C * -5)
14 + 3C = 1 + (-30 + 5C)

Combine like terms: 1 + -30 = -29
14 + 3C = -29 + 5C

Solving
14 + 3C = -29 + 5C

Solving for variable 'C'.

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

Add '-5C' to each side of the equation.
14 + 3C + -5C = -29 + 5C + -5C

Combine like terms: 3C + -5C = -2C
14 + -2C = -29 + 5C + -5C

Combine like terms: 5C + -5C = 0
14 + -2C = -29 + 0
14 + -2C = -29

Add '-14' to each side of the equation.
14 + -14 + -2C = -29 + -14

Combine like terms: 14 + -14 = 0
0 + -2C = -29 + -14
-2C = -29 + -14

Combine like terms: -29 + -14 = -43
-2C = -43

Divide each side by '-2'.
C = 21.5

Simplifying
C = 21.5

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