2(g)(3)(m-1+2(b+12))=18(b)

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

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

Reorder the terms:
2g * 3(m + -1 + 2(12 + b)) = 18(b)
2g * 3(m + -1 + (12 * 2 + b * 2)) = 18(b)
2g * 3(m + -1 + (24 + 2b)) = 18(b)

Reorder the terms:
2g * 3(-1 + 24 + 2b + m) = 18(b)

Combine like terms: -1 + 24 = 23
2g * 3(23 + 2b + m) = 18(b)

Reorder the terms for easier multiplication:
2 * 3g(23 + 2b + m) = 18(b)

Multiply 2 * 3
6g(23 + 2b + m) = 18(b)
(23 * 6g + 2b * 6g + m * 6g) = 18(b)

Reorder the terms:
(12bg + 138g + 6gm) = 18(b)
(12bg + 138g + 6gm) = 18(b)

Solving
12bg + 138g + 6gm = 18b

Solving for variable 'b'.

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

Add '-18b' to each side of the equation.
12bg + 138g + -18b + 6gm = 18b + -18b

Reorder the terms:
-18b + 12bg + 138g + 6gm = 18b + -18b

Combine like terms: 18b + -18b = 0
-18b + 12bg + 138g + 6gm = 0

Add '-138g' to each side of the equation.
-18b + 12bg + 138g + -138g + 6gm = 0 + -138g

Combine like terms: 138g + -138g = 0
-18b + 12bg + 0 + 6gm = 0 + -138g
-18b + 12bg + 6gm = 0 + -138g
Remove the zero:
-18b + 12bg + 6gm = -138g

Add '-6gm' to each side of the equation.
-18b + 12bg + 6gm + -6gm = -138g + -6gm

Combine like terms: 6gm + -6gm = 0
-18b + 12bg + 0 = -138g + -6gm
-18b + 12bg = -138g + -6gm

Reorder the terms:
-18b + 12bg + 138g + 6gm = -138g + 138g + -6gm + 6gm

Combine like terms: -138g + 138g = 0
-18b + 12bg + 138g + 6gm = 0 + -6gm + 6gm
-18b + 12bg + 138g + 6gm = -6gm + 6gm

Combine like terms: -6gm + 6gm = 0
-18b + 12bg + 138g + 6gm = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-3b + 2bg + 23g + gm) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-3b + 2bg + 23g + gm)' equal to zero and attempt to solve:

Simplifying
-3b + 2bg + 23g + gm = 0

Solving
-3b + 2bg + 23g + gm = 0

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

Add '-23g' to each side of the equation.
-3b + 2bg + 23g + -23g + gm = 0 + -23g

Combine like terms: 23g + -23g = 0
-3b + 2bg + 0 + gm = 0 + -23g
-3b + 2bg + gm = 0 + -23g
Remove the zero:
-3b + 2bg + gm = -23g

Add '-1gm' to each side of the equation.
-3b + 2bg + gm + -1gm = -23g + -1gm

Combine like terms: gm + -1gm = 0
-3b + 2bg + 0 = -23g + -1gm
-3b + 2bg = -23g + -1gm

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.