12(5-c)=7-(1+3c)

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Solution for 12(5-c)=7-(1+3c) equation:


Simplifying
12(5 + -1c) = 7 + -1(1 + 3c)
(5 * 12 + -1c * 12) = 7 + -1(1 + 3c)
(60 + -12c) = 7 + -1(1 + 3c)
60 + -12c = 7 + (1 * -1 + 3c * -1)
60 + -12c = 7 + (-1 + -3c)

Combine like terms: 7 + -1 = 6
60 + -12c = 6 + -3c

Solving
60 + -12c = 6 + -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.
60 + -12c + 3c = 6 + -3c + 3c

Combine like terms: -12c + 3c = -9c
60 + -9c = 6 + -3c + 3c

Combine like terms: -3c + 3c = 0
60 + -9c = 6 + 0
60 + -9c = 6

Add '-60' to each side of the equation.
60 + -60 + -9c = 6 + -60

Combine like terms: 60 + -60 = 0
0 + -9c = 6 + -60
-9c = 6 + -60

Combine like terms: 6 + -60 = -54
-9c = -54

Divide each side by '-9'.
c = 6

Simplifying
c = 6

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