g(-6b)=7(-6b)+2

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Solution for g(-6b)=7(-6b)+2 equation:


Simplifying
g(-6b) = 7(-6b) + 2

Remove parenthesis around (-6b)
g * -6b = 7(-6b) + 2

Reorder the terms for easier multiplication:
-6g * b = 7(-6b) + 2

Multiply g * b
-6bg = 7(-6b) + 2

Remove parenthesis around (-6b)
-6bg = 7 * -6b + 2

Multiply 7 * -6
-6bg = -42b + 2

Reorder the terms:
-6bg = 2 + -42b

Solving
-6bg = 2 + -42b

Solving for variable 'b'.

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

Add '42b' to each side of the equation.
42b + -6bg = 2 + -42b + 42b

Combine like terms: -42b + 42b = 0
42b + -6bg = 2 + 0
42b + -6bg = 2

Reorder the terms:
-2 + 42b + -6bg = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 42b + -6bg = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 21b + -3bg) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + 21b + -3bg)' equal to zero and attempt to solve: Simplifying -1 + 21b + -3bg = 0 Solving -1 + 21b + -3bg = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 21b + 1 + -3bg = 0 + 1 Reorder the terms: -1 + 1 + 21b + -3bg = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 21b + -3bg = 0 + 1 21b + -3bg = 0 + 1 Combine like terms: 0 + 1 = 1 21b + -3bg = 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.

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