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Simplifying 10 + -1(r + 3) = 2(r + 5) Reorder the terms: 10 + -1(3 + r) = 2(r + 5) 10 + (3 * -1 + r * -1) = 2(r + 5) 10 + (-3 + -1r) = 2(r + 5) Combine like terms: 10 + -3 = 7 7 + -1r = 2(r + 5) Reorder the terms: 7 + -1r = 2(5 + r) 7 + -1r = (5 * 2 + r * 2) 7 + -1r = (10 + 2r) Solving 7 + -1r = 10 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 7 + -1r + -2r = 10 + 2r + -2r Combine like terms: -1r + -2r = -3r 7 + -3r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 7 + -3r = 10 + 0 7 + -3r = 10 Add '-7' to each side of the equation. 7 + -7 + -3r = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -3r = 10 + -7 -3r = 10 + -7 Combine like terms: 10 + -7 = 3 -3r = 3 Divide each side by '-3'. r = -1 Simplifying r = -1
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