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Simplifying (9r + -5) + -1(-4r + -9) = 0 Reorder the terms: (-5 + 9r) + -1(-4r + -9) = 0 Remove parenthesis around (-5 + 9r) -5 + 9r + -1(-4r + -9) = 0 Reorder the terms: -5 + 9r + -1(-9 + -4r) = 0 -5 + 9r + (-9 * -1 + -4r * -1) = 0 -5 + 9r + (9 + 4r) = 0 Reorder the terms: -5 + 9 + 9r + 4r = 0 Combine like terms: -5 + 9 = 4 4 + 9r + 4r = 0 Combine like terms: 9r + 4r = 13r 4 + 13r = 0 Solving 4 + 13r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 13r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13r = 0 + -4 13r = 0 + -4 Combine like terms: 0 + -4 = -4 13r = -4 Divide each side by '13'. r = -0.3076923077 Simplifying r = -0.3076923077
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