-3(2-4r)=2(er-4)+8

Solution for -3(2-4r)=2(er-4)+8 equation:

Simplifying
-3(2 + -4r) = 2(er + -4) + 8
(2 * -3 + -4r * -3) = 2(er + -4) + 8
(-6 + 12r) = 2(er + -4) + 8

Reorder the terms:
-6 + 12r = 2(-4 + er) + 8
-6 + 12r = (-4 * 2 + er * 2) + 8
-6 + 12r = (-8 + 2er) + 8

Reorder the terms:
-6 + 12r = -8 + 8 + 2er

Combine like terms: -8 + 8 = 0
-6 + 12r = 0 + 2er
-6 + 12r = 2er

Solving
-6 + 12r = 2er

Solving for variable 'r'.

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

Add '-2er' to each side of the equation.
-6 + -2er + 12r = 2er + -2er

Combine like terms: 2er + -2er = 0
-6 + -2er + 12r = 0

Add '6' to each side of the equation.
-6 + -2er + 6 + 12r = 0 + 6

Reorder the terms:
-6 + 6 + -2er + 12r = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -2er + 12r = 0 + 6
-2er + 12r = 0 + 6

Combine like terms: 0 + 6 = 6
-2er + 12r = 6

Reorder the terms:
-6 + -2er + 12r = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -2er + 12r = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -1er + 6r) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -1er + 6r)' equal to zero and attempt to solve:

Simplifying
-3 + -1er + 6r = 0

Solving
-3 + -1er + 6r = 0

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

Add '3' to each side of the equation.
-3 + -1er + 3 + 6r = 0 + 3

Reorder the terms:
-3 + 3 + -1er + 6r = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1er + 6r = 0 + 3
-1er + 6r = 0 + 3

Combine like terms: 0 + 3 = 3
-1er + 6r = 3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.