7(c-8)+24=r(c-6)

Solution for 7(c-8)+24=r(c-6) equation:

Simplifying
7(c + -8) + 24 = r(c + -6)

Reorder the terms:
7(-8 + c) + 24 = r(c + -6)
(-8 * 7 + c * 7) + 24 = r(c + -6)
(-56 + 7c) + 24 = r(c + -6)

Reorder the terms:
-56 + 24 + 7c = r(c + -6)

Combine like terms: -56 + 24 = -32
-32 + 7c = r(c + -6)

Reorder the terms:
-32 + 7c = r(-6 + c)
-32 + 7c = (-6 * r + c * r)

Reorder the terms:
-32 + 7c = (cr + -6r)
-32 + 7c = (cr + -6r)

Solving
-32 + 7c = cr + -6r

Solving for variable 'c'.

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

Add '-1cr' to each side of the equation.
-32 + 7c + -1cr = cr + -1cr + -6r

Combine like terms: cr + -1cr = 0
-32 + 7c + -1cr = 0 + -6r
-32 + 7c + -1cr = -6r

Add '32' to each side of the equation.
-32 + 7c + 32 + -1cr = 32 + -6r

Reorder the terms:
-32 + 32 + 7c + -1cr = 32 + -6r

Combine like terms: -32 + 32 = 0
0 + 7c + -1cr = 32 + -6r
7c + -1cr = 32 + -6r

Reorder the terms:
-32 + 7c + -1cr + 6r = 32 + -6r + -32 + 6r

Reorder the terms:
-32 + 7c + -1cr + 6r = 32 + -32 + -6r + 6r

Combine like terms: 32 + -32 = 0
-32 + 7c + -1cr + 6r = 0 + -6r + 6r
-32 + 7c + -1cr + 6r = -6r + 6r

Combine like terms: -6r + 6r = 0
-32 + 7c + -1cr + 6r = 0

The solution to this equation could not be determined.