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Simplifying -17 = 8r + -1(2 + 5r) -17 = 8r + (2 * -1 + 5r * -1) -17 = 8r + (-2 + -5r) Reorder the terms: -17 = -2 + 8r + -5r Combine like terms: 8r + -5r = 3r -17 = -2 + 3r Solving -17 = -2 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -17 + -3r = -2 + 3r + -3r Combine like terms: 3r + -3r = 0 -17 + -3r = -2 + 0 -17 + -3r = -2 Add '17' to each side of the equation. -17 + 17 + -3r = -2 + 17 Combine like terms: -17 + 17 = 0 0 + -3r = -2 + 17 -3r = -2 + 17 Combine like terms: -2 + 17 = 15 -3r = 15 Divide each side by '-3'. r = -5 Simplifying r = -5
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