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Simplifying 8r + -1(5r + 4) = -31 + 3ru Reorder the terms: 8r + -1(4 + 5r) = -31 + 3ru 8r + (4 * -1 + 5r * -1) = -31 + 3ru 8r + (-4 + -5r) = -31 + 3ru Reorder the terms: -4 + 8r + -5r = -31 + 3ru Combine like terms: 8r + -5r = 3r -4 + 3r = -31 + 3ru Solving -4 + 3r = -31 + 3ru Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3ru' to each side of the equation. -4 + 3r + -3ru = -31 + 3ru + -3ru Combine like terms: 3ru + -3ru = 0 -4 + 3r + -3ru = -31 + 0 -4 + 3r + -3ru = -31 Add '4' to each side of the equation. -4 + 3r + 4 + -3ru = -31 + 4 Reorder the terms: -4 + 4 + 3r + -3ru = -31 + 4 Combine like terms: -4 + 4 = 0 0 + 3r + -3ru = -31 + 4 3r + -3ru = -31 + 4 Combine like terms: -31 + 4 = -27 3r + -3ru = -27 Reorder the terms: 27 + 3r + -3ru = -27 + 27 Combine like terms: -27 + 27 = 0 27 + 3r + -3ru = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(9 + r + -1ru) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(9 + r + -1ru)' equal to zero and attempt to solve: Simplifying 9 + r + -1ru = 0 Solving 9 + r + -1ru = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + r + -9 + -1ru = 0 + -9 Reorder the terms: 9 + -9 + r + -1ru = 0 + -9 Combine like terms: 9 + -9 = 0 0 + r + -1ru = 0 + -9 r + -1ru = 0 + -9 Combine like terms: 0 + -9 = -9 r + -1ru = -9 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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