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Simplifying (11r + -8) + (5r + -9) = 0 Reorder the terms: (-8 + 11r) + (5r + -9) = 0 Remove parenthesis around (-8 + 11r) -8 + 11r + (5r + -9) = 0 Reorder the terms: -8 + 11r + (-9 + 5r) = 0 Remove parenthesis around (-9 + 5r) -8 + 11r + -9 + 5r = 0 Reorder the terms: -8 + -9 + 11r + 5r = 0 Combine like terms: -8 + -9 = -17 -17 + 11r + 5r = 0 Combine like terms: 11r + 5r = 16r -17 + 16r = 0 Solving -17 + 16r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 16r = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 16r = 0 + 17 16r = 0 + 17 Combine like terms: 0 + 17 = 17 16r = 17 Divide each side by '16'. r = 1.0625 Simplifying r = 1.0625
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