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Simplifying -1(r + -9) + 2r = -1(r + -9) Reorder the terms: -1(-9 + r) + 2r = -1(r + -9) (-9 * -1 + r * -1) + 2r = -1(r + -9) (9 + -1r) + 2r = -1(r + -9) Combine like terms: -1r + 2r = 1r 9 + 1r = -1(r + -9) Reorder the terms: 9 + 1r = -1(-9 + r) 9 + 1r = (-9 * -1 + r * -1) 9 + 1r = (9 + -1r) Add '-9' to each side of the equation. 9 + -9 + 1r = 9 + -9 + -1r Combine like terms: 9 + -9 = 0 0 + 1r = 9 + -9 + -1r 1r = 9 + -9 + -1r Combine like terms: 9 + -9 = 0 1r = 0 + -1r 1r = -1r Solving 1r = -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. 1r + r = -1r + r Combine like terms: 1r + r = 2r 2r = -1r + r Combine like terms: -1r + r = 0 2r = 0 Divide each side by '2'. r = 0 Simplifying r = 0
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