2e(3)(m-1+12)=18

Solution for 2e(3)(m-1+12)=18 equation:

Simplifying
2e(3)(m + -1 + 12) = 18

Reorder the terms:
2e * 3(-1 + 12 + m) = 18

Combine like terms: -1 + 12 = 11
2e * 3(11 + m) = 18

Reorder the terms for easier multiplication:
2 * 3e(11 + m) = 18

Multiply 2 * 3
6e(11 + m) = 18
(11 * 6e + m * 6e) = 18
(66e + 6em) = 18

Solving
66e + 6em = 18

Solving for variable 'e'.

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

Reorder the terms:
-18 + 66e + 6em = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 66e + 6em = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-3 + 11e + em) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-3 + 11e + em)' equal to zero and attempt to solve:

Simplifying
-3 + 11e + em = 0

Solving
-3 + 11e + em = 0

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

Add '3' to each side of the equation.
-3 + 11e + 3 + em = 0 + 3

Reorder the terms:
-3 + 3 + 11e + em = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 11e + em = 0 + 3
11e + em = 0 + 3

Combine like terms: 0 + 3 = 3
11e + em = 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.