3(r+2)-[2(3-2r)-3c(3-r)]=2(r+5)-4

Solution for 3(r+2)-[2(3-2r)-3c(3-r)]=2(r+5)-4 equation:

Simplifying
3(r + 2) + -1[2(3 + -2r) + -3c(3 + -1r)] = 2(r + 5) + -4

Reorder the terms:
3(2 + r) + -1[2(3 + -2r) + -3c(3 + -1r)] = 2(r + 5) + -4
(2 * 3 + r * 3) + -1[2(3 + -2r) + -3c(3 + -1r)] = 2(r + 5) + -4
(6 + 3r) + -1[2(3 + -2r) + -3c(3 + -1r)] = 2(r + 5) + -4
6 + 3r + -1[(3 * 2 + -2r * 2) + -3c(3 + -1r)] = 2(r + 5) + -4
6 + 3r + -1[(6 + -4r) + -3c(3 + -1r)] = 2(r + 5) + -4
6 + 3r + -1[6 + -4r + (3 * -3c + -1r * -3c)] = 2(r + 5) + -4
6 + 3r + -1[6 + -4r + (-9c + 3cr)] = 2(r + 5) + -4

Reorder the terms:
6 + 3r + -1[6 + -9c + 3cr + -4r] = 2(r + 5) + -4
6 + 3r + [6 * -1 + -9c * -1 + 3cr * -1 + -4r * -1] = 2(r + 5) + -4
6 + 3r + [-6 + 9c + -3cr + 4r] = 2(r + 5) + -4

Reorder the terms:
6 + -6 + 9c + -3cr + 3r + 4r = 2(r + 5) + -4

Combine like terms: 6 + -6 = 0
0 + 9c + -3cr + 3r + 4r = 2(r + 5) + -4
9c + -3cr + 3r + 4r = 2(r + 5) + -4

Combine like terms: 3r + 4r = 7r
9c + -3cr + 7r = 2(r + 5) + -4

Reorder the terms:
9c + -3cr + 7r = 2(5 + r) + -4
9c + -3cr + 7r = (5 * 2 + r * 2) + -4
9c + -3cr + 7r = (10 + 2r) + -4

Reorder the terms:
9c + -3cr + 7r = 10 + -4 + 2r

Combine like terms: 10 + -4 = 6
9c + -3cr + 7r = 6 + 2r

Solving
9c + -3cr + 7r = 6 + 2r

Solving for variable 'c'.

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

Add '-7r' to each side of the equation.
9c + -3cr + 7r + -7r = 6 + 2r + -7r

Combine like terms: 7r + -7r = 0
9c + -3cr + 0 = 6 + 2r + -7r
9c + -3cr = 6 + 2r + -7r

Combine like terms: 2r + -7r = -5r
9c + -3cr = 6 + -5r

Reorder the terms:
-6 + 9c + -3cr + 5r = 6 + -5r + -6 + 5r

Reorder the terms:
-6 + 9c + -3cr + 5r = 6 + -6 + -5r + 5r

Combine like terms: 6 + -6 = 0
-6 + 9c + -3cr + 5r = 0 + -5r + 5r
-6 + 9c + -3cr + 5r = -5r + 5r

Combine like terms: -5r + 5r = 0
-6 + 9c + -3cr + 5r = 0

The solution to this equation could not be determined.