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Simplifying -8[9r + 3] = -28 + -6pr Reorder the terms: -8[3 + 9r] = -28 + -6pr [3 * -8 + 9r * -8] = -28 + -6pr [-24 + -72r] = -28 + -6pr Solving -24 + -72r = -28 + -6pr Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6pr' to each side of the equation. -24 + 6pr + -72r = -28 + -6pr + 6pr Combine like terms: -6pr + 6pr = 0 -24 + 6pr + -72r = -28 + 0 -24 + 6pr + -72r = -28 Add '24' to each side of the equation. -24 + 6pr + 24 + -72r = -28 + 24 Reorder the terms: -24 + 24 + 6pr + -72r = -28 + 24 Combine like terms: -24 + 24 = 0 0 + 6pr + -72r = -28 + 24 6pr + -72r = -28 + 24 Combine like terms: -28 + 24 = -4 6pr + -72r = -4 Reorder the terms: 4 + 6pr + -72r = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 6pr + -72r = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 3pr + -36r) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 3pr + -36r)' equal to zero and attempt to solve: Simplifying 2 + 3pr + -36r = 0 Solving 2 + 3pr + -36r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3pr + -2 + -36r = 0 + -2 Reorder the terms: 2 + -2 + 3pr + -36r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3pr + -36r = 0 + -2 3pr + -36r = 0 + -2 Combine like terms: 0 + -2 = -2 3pr + -36r = -2 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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