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Simplifying -4 + 2(r + -10) = 9 + -1(r + -9) Reorder the terms: -4 + 2(-10 + r) = 9 + -1(r + -9) -4 + (-10 * 2 + r * 2) = 9 + -1(r + -9) -4 + (-20 + 2r) = 9 + -1(r + -9) Combine like terms: -4 + -20 = -24 -24 + 2r = 9 + -1(r + -9) Reorder the terms: -24 + 2r = 9 + -1(-9 + r) -24 + 2r = 9 + (-9 * -1 + r * -1) -24 + 2r = 9 + (9 + -1r) Combine like terms: 9 + 9 = 18 -24 + 2r = 18 + -1r Solving -24 + 2r = 18 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -24 + 2r + r = 18 + -1r + r Combine like terms: 2r + r = 3r -24 + 3r = 18 + -1r + r Combine like terms: -1r + r = 0 -24 + 3r = 18 + 0 -24 + 3r = 18 Add '24' to each side of the equation. -24 + 24 + 3r = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 3r = 18 + 24 3r = 18 + 24 Combine like terms: 18 + 24 = 42 3r = 42 Divide each side by '3'. r = 14 Simplifying r = 14
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