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Simplifying -7(r + -9) = 2(12 + -5r) Reorder the terms: -7(-9 + r) = 2(12 + -5r) (-9 * -7 + r * -7) = 2(12 + -5r) (63 + -7r) = 2(12 + -5r) 63 + -7r = (12 * 2 + -5r * 2) 63 + -7r = (24 + -10r) Solving 63 + -7r = 24 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 63 + -7r + 10r = 24 + -10r + 10r Combine like terms: -7r + 10r = 3r 63 + 3r = 24 + -10r + 10r Combine like terms: -10r + 10r = 0 63 + 3r = 24 + 0 63 + 3r = 24 Add '-63' to each side of the equation. 63 + -63 + 3r = 24 + -63 Combine like terms: 63 + -63 = 0 0 + 3r = 24 + -63 3r = 24 + -63 Combine like terms: 24 + -63 = -39 3r = -39 Divide each side by '3'. r = -13 Simplifying r = -13
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