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Simplifying 4m(n + -2) = 4m Reorder the terms: 4m(-2 + n) = 4m (-2 * 4m + n * 4m) = 4m (-8m + 4mn) = 4m Solving -8m + 4mn = 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -8m + -4m + 4mn = 4m + -4m Combine like terms: -8m + -4m = -12m -12m + 4mn = 4m + -4m Combine like terms: 4m + -4m = 0 -12m + 4mn = 0 Factor out the Greatest Common Factor (GCF), '4m'. 4m(-3 + n) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-3 + n)' equal to zero and attempt to solve: Simplifying -3 + n = 0 Solving -3 + n = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + n = 0 + 3 n = 0 + 3 Combine like terms: 0 + 3 = 3 n = 3 Add '-1n' to each side of the equation. n + -1n = 3 + -1n Combine like terms: n + -1n = 0 0 = 3 + -1n Simplifying 0 = 3 + -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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