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Simplifying r = m(1 + n) * forn Reorder the terms for easier multiplication: r = m * fnor(1 + n) Multiply m * fnor r = fmnor(1 + n) r = (1 * fmnor + n * fmnor) r = (1fmnor + fmn2or) Solving r = 1fmnor + fmn2or Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1fmnor' to each side of the equation. -1fmnor + r = 1fmnor + -1fmnor + fmn2or Combine like terms: 1fmnor + -1fmnor = 0 -1fmnor + r = 0 + fmn2or -1fmnor + r = fmn2or Add '-1fmn2or' to each side of the equation. -1fmnor + -1fmn2or + r = fmn2or + -1fmn2or Combine like terms: fmn2or + -1fmn2or = 0 -1fmnor + -1fmn2or + r = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(-1fmno + -1fmn2o + 1) = 0Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
Set the factor '(-1fmno + -1fmn2o + 1)' equal to zero and attempt to solve: Simplifying -1fmno + -1fmn2o + 1 = 0 Reorder the terms: 1 + -1fmno + -1fmn2o = 0 Solving 1 + -1fmno + -1fmn2o = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1fmno + -1 + -1fmn2o = 0 + -1 Reorder the terms: 1 + -1 + -1fmno + -1fmn2o = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1fmno + -1fmn2o = 0 + -1 -1fmno + -1fmn2o = 0 + -1 Combine like terms: 0 + -1 = -1 -1fmno + -1fmn2o = -1 Add 'fmno' to each side of the equation. -1fmno + fmno + -1fmn2o = -1 + fmno Combine like terms: -1fmno + fmno = 0 0 + -1fmn2o = -1 + fmno -1fmn2o = -1 + fmno Add 'fmn2o' to each side of the equation. -1fmn2o + fmn2o = -1 + fmno + fmn2o Combine like terms: -1fmn2o + fmn2o = 0 0 = -1 + fmno + fmn2o Simplifying 0 = -1 + fmno + fmn2o The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
r = {0}
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