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Simplifying 5(r + 9) + -2(r + -9) = 1 Reorder the terms: 5(9 + r) + -2(r + -9) = 1 (9 * 5 + r * 5) + -2(r + -9) = 1 (45 + 5r) + -2(r + -9) = 1 Reorder the terms: 45 + 5r + -2(-9 + r) = 1 45 + 5r + (-9 * -2 + r * -2) = 1 45 + 5r + (18 + -2r) = 1 Reorder the terms: 45 + 18 + 5r + -2r = 1 Combine like terms: 45 + 18 = 63 63 + 5r + -2r = 1 Combine like terms: 5r + -2r = 3r 63 + 3r = 1 Solving 63 + 3r = 1 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 3r = 1 + -63 Combine like terms: 63 + -63 = 0 0 + 3r = 1 + -63 3r = 1 + -63 Combine like terms: 1 + -63 = -62 3r = -62 Divide each side by '3'. r = -20.66666667 Simplifying r = -20.66666667
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