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Simplifying 5m + -10n = 20form Solving 5m + -10n = 20fmor Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20fmor' to each side of the equation. 5m + -20fmor + -10n = 20fmor + -20fmor Reorder the terms: -20fmor + 5m + -10n = 20fmor + -20fmor Combine like terms: 20fmor + -20fmor = 0 -20fmor + 5m + -10n = 0 Add '10n' to each side of the equation. -20fmor + 5m + -10n + 10n = 0 + 10n Combine like terms: -10n + 10n = 0 -20fmor + 5m + 0 = 0 + 10n -20fmor + 5m = 0 + 10n Remove the zero: -20fmor + 5m = 10n Combine like terms: 10n + -10n = 0 -20fmor + 5m + -10n = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-4fmor + m + -2n) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4fmor + m + -2n)' equal to zero and attempt to solve: Simplifying -4fmor + m + -2n = 0 Solving -4fmor + m + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. -4fmor + m + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 -4fmor + m + 0 = 0 + 2n -4fmor + m = 0 + 2n Remove the zero: -4fmor + m = 2n 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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