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Simplifying -2(r + -5) + 5 = 9 + r Reorder the terms: -2(-5 + r) + 5 = 9 + r (-5 * -2 + r * -2) + 5 = 9 + r (10 + -2r) + 5 = 9 + r Reorder the terms: 10 + 5 + -2r = 9 + r Combine like terms: 10 + 5 = 15 15 + -2r = 9 + r Solving 15 + -2r = 9 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 15 + -2r + -1r = 9 + r + -1r Combine like terms: -2r + -1r = -3r 15 + -3r = 9 + r + -1r Combine like terms: r + -1r = 0 15 + -3r = 9 + 0 15 + -3r = 9 Add '-15' to each side of the equation. 15 + -15 + -3r = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -3r = 9 + -15 -3r = 9 + -15 Combine like terms: 9 + -15 = -6 -3r = -6 Divide each side by '-3'. r = 2 Simplifying r = 2
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