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Simplifying 9 + 5r = 8r + -1(-17) Multiply -1 * -17 9 + 5r = 8r + 17 Reorder the terms: 9 + 5r = 17 + 8r Solving 9 + 5r = 17 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 9 + 5r + -8r = 17 + 8r + -8r Combine like terms: 5r + -8r = -3r 9 + -3r = 17 + 8r + -8r Combine like terms: 8r + -8r = 0 9 + -3r = 17 + 0 9 + -3r = 17 Add '-9' to each side of the equation. 9 + -9 + -3r = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -3r = 17 + -9 -3r = 17 + -9 Combine like terms: 17 + -9 = 8 -3r = 8 Divide each side by '-3'. r = -2.666666667 Simplifying r = -2.666666667
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