G(-2a)=4a-(-2a)+1

Solution for G(-2a)=4a-(-2a)+1 equation:

Simplifying
G(-2a) = 4a + -1(-2a) + 1

Remove parenthesis around (-2a)
G * -2a = 4a + -1(-2a) + 1

Reorder the terms for easier multiplication:
-2G * a = 4a + -1(-2a) + 1

Multiply G * a
-2aG = 4a + -1(-2a) + 1

Remove parenthesis around (-2a)
-2aG = 4a + -1 * -2a + 1

Multiply -1 * -2
-2aG = 4a + 2a + 1

Reorder the terms:
-2aG = 1 + 4a + 2a

Combine like terms: 4a + 2a = 6a
-2aG = 1 + 6a

Solving
-2aG = 1 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-6a + -2aG = 1 + 6a + -6a

Combine like terms: 6a + -6a = 0
-6a + -2aG = 1 + 0
-6a + -2aG = 1

Reorder the terms:
-1 + -6a + -2aG = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -6a + -2aG = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 6a + 2aG) = 0

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

Simplifying
1 + 6a + 2aG = 0

Solving
1 + 6a + 2aG = 0

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

Add '-1' to each side of the equation.
1 + 6a + -1 + 2aG = 0 + -1

Reorder the terms:
1 + -1 + 6a + 2aG = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6a + 2aG = 0 + -1
6a + 2aG = 0 + -1

Combine like terms: 0 + -1 = -1
6a + 2aG = -1

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.