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Simplifying 13r + 32r = 180whatisr Combine like terms: 13r + 32r = 45r 45r = 180whatisr Solving 45r = 180ahirstw Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-180ahirstw' to each side of the equation. -180ahirstw + 45r = 180ahirstw + -180ahirstw Combine like terms: 180ahirstw + -180ahirstw = 0 -180ahirstw + 45r = 0 Factor out the Greatest Common Factor (GCF), '45r'. 45r(-4ahistw + 1) = 0 Ignore the factor 45.Subproblem 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 '(-4ahistw + 1)' equal to zero and attempt to solve: Simplifying -4ahistw + 1 = 0 Reorder the terms: 1 + -4ahistw = 0 Solving 1 + -4ahistw = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4ahistw = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4ahistw = 0 + -1 -4ahistw = 0 + -1 Combine like terms: 0 + -1 = -1 -4ahistw = -1 Add '4ahistw' to each side of the equation. -4ahistw + 4ahistw = -1 + 4ahistw Combine like terms: -4ahistw + 4ahistw = 0 0 = -1 + 4ahistw Simplifying 0 = -1 + 4ahistw 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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