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Simplifying rt = r + rR Solving rt = r + rR Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -1r + rt = r + -1r + rR Combine like terms: r + -1r = 0 -1r + rt = 0 + rR -1r + rt = rR Add '-1rR' to each side of the equation. -1r + -1rR + rt = rR + -1rR Combine like terms: rR + -1rR = 0 -1r + -1rR + rt = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(-1 + -1R + t) = 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 '(-1 + -1R + t)' equal to zero and attempt to solve: Simplifying -1 + -1R + t = 0 Solving -1 + -1R + t = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1R + 1 + t = 0 + 1 Reorder the terms: -1 + 1 + -1R + t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1R + t = 0 + 1 -1R + t = 0 + 1 Combine like terms: 0 + 1 = 1 -1R + t = 1 Add 'R' to each side of the equation. -1R + R + t = 1 + R Combine like terms: -1R + R = 0 0 + t = 1 + R t = 1 + R Add '-1t' to each side of the equation. t + -1t = 1 + R + -1t Combine like terms: t + -1t = 0 0 = 1 + R + -1t Simplifying 0 = 1 + R + -1t 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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