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Simplifying g(2b) = 4b Remove parenthesis around (2b) g * 2b = 4b Reorder the terms for easier multiplication: 2g * b = 4b Multiply g * b 2bg = 4b Solving 2bg = 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -4b + 2bg = 4b + -4b Combine like terms: 4b + -4b = 0 -4b + 2bg = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(-2 + g) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(-2 + g)' equal to zero and attempt to solve: Simplifying -2 + g = 0 Solving -2 + g = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + g = 0 + 2 Combine like terms: -2 + 2 = 0 0 + g = 0 + 2 g = 0 + 2 Combine like terms: 0 + 2 = 2 g = 2 Add '-1g' to each side of the equation. g + -1g = 2 + -1g Combine like terms: g + -1g = 0 0 = 2 + -1g Simplifying 0 = 2 + -1g The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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