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Simplifying 2(4f + 2g) = 2f(4 + 2g) (4f * 2 + 2g * 2) = 2f(4 + 2g) (8f + 4g) = 2f(4 + 2g) 8f + 4g = (4 * 2f + 2g * 2f) 8f + 4g = (8f + 4fg) Add '-8f' to each side of the equation. 8f + -8f + 4g = 8f + -8f + 4fg Combine like terms: 8f + -8f = 0 0 + 4g = 8f + -8f + 4fg 4g = 8f + -8f + 4fg Combine like terms: 8f + -8f = 0 4g = 0 + 4fg 4g = 4fg Solving 4g = 4fg Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4fg' to each side of the equation. -4fg + 4g = 4fg + -4fg Combine like terms: 4fg + -4fg = 0 -4fg + 4g = 0 Factor out the Greatest Common Factor (GCF), '4g'. 4g(-1f + 1) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(-1f + 1)' equal to zero and attempt to solve: Simplifying -1f + 1 = 0 Reorder the terms: 1 + -1f = 0 Solving 1 + -1f = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1f = 0 + -1 -1f = 0 + -1 Combine like terms: 0 + -1 = -1 -1f = -1 Add 'f' to each side of the equation. -1f + f = -1 + f Combine like terms: -1f + f = 0 0 = -1 + f Simplifying 0 = -1 + f The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
g = {0}
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