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Simplifying 5r + 9 = -1 + -3r + -8r Reorder the terms: 9 + 5r = -1 + -3r + -8r Combine like terms: -3r + -8r = -11r 9 + 5r = -1 + -11r Solving 9 + 5r = -1 + -11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11r' to each side of the equation. 9 + 5r + 11r = -1 + -11r + 11r Combine like terms: 5r + 11r = 16r 9 + 16r = -1 + -11r + 11r Combine like terms: -11r + 11r = 0 9 + 16r = -1 + 0 9 + 16r = -1 Add '-9' to each side of the equation. 9 + -9 + 16r = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 16r = -1 + -9 16r = -1 + -9 Combine like terms: -1 + -9 = -10 16r = -10 Divide each side by '16'. r = -0.625 Simplifying r = -0.625
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