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Simplifying (9r + -5) + -1(-4 + -9) = 0 Reorder the terms: (-5 + 9r) + -1(-4 + -9) = 0 Remove parenthesis around (-5 + 9r) -5 + 9r + -1(-4 + -9) = 0 Combine like terms: -4 + -9 = -13 -5 + 9r + -1(-13) = 0 Multiply -1 * -13 -5 + 9r + 13 = 0 Reorder the terms: -5 + 13 + 9r = 0 Combine like terms: -5 + 13 = 8 8 + 9r = 0 Solving 8 + 9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9r = 0 + -8 9r = 0 + -8 Combine like terms: 0 + -8 = -8 9r = -8 Divide each side by '9'. r = -0.8888888889 Simplifying r = -0.8888888889
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