12=5c(-3r+2)-(r-1)

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Solution for 12=5c(-3r+2)-(r-1) equation: 


Simplifying
12 = 5c(-3r + 2) + -1(r + -1)

Reorder the terms:
12 = 5c(2 + -3r) + -1(r + -1)
12 = (2 * 5c + -3r * 5c) + -1(r + -1)
12 = (10c + -15cr) + -1(r + -1)

Reorder the terms:
12 = 10c + -15cr + -1(-1 + r)
12 = 10c + -15cr + (-1 * -1 + r * -1)
12 = 10c + -15cr + (1 + -1r)

Reorder the terms:
12 = 1 + 10c + -15cr + -1r

Solving
12 = 1 + 10c + -15cr + -1r

Solving for variable 'c'.

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

Add '-10c' to each side of the equation.
12 + -10c = 1 + 10c + -15cr + -10c + -1r

Reorder the terms:
12 + -10c = 1 + 10c + -10c + -15cr + -1r

Combine like terms: 10c + -10c = 0
12 + -10c = 1 + 0 + -15cr + -1r
12 + -10c = 1 + -15cr + -1r

Add '15cr' to each side of the equation.
12 + -10c + 15cr = 1 + -15cr + 15cr + -1r

Combine like terms: -15cr + 15cr = 0
12 + -10c + 15cr = 1 + 0 + -1r
12 + -10c + 15cr = 1 + -1r

Add '-12' to each side of the equation.
12 + -10c + -12 + 15cr = 1 + -12 + -1r

Reorder the terms:
12 + -12 + -10c + 15cr = 1 + -12 + -1r

Combine like terms: 12 + -12 = 0
0 + -10c + 15cr = 1 + -12 + -1r
-10c + 15cr = 1 + -12 + -1r

Combine like terms: 1 + -12 = -11
-10c + 15cr = -11 + -1r

Reorder the terms:
11 + -10c + 15cr + r = -11 + -1r + 11 + r

Reorder the terms:
11 + -10c + 15cr + r = -11 + 11 + -1r + r

Combine like terms: -11 + 11 = 0
11 + -10c + 15cr + r = 0 + -1r + r
11 + -10c + 15cr + r = -1r + r

Combine like terms: -1r + r = 0
11 + -10c + 15cr + r = 0

The solution to this equation could not be determined.

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