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Simplifying -1(r + -1) + r = 2r + -3(r + 5) Reorder the terms: -1(-1 + r) + r = 2r + -3(r + 5) (-1 * -1 + r * -1) + r = 2r + -3(r + 5) (1 + -1r) + r = 2r + -3(r + 5) Combine like terms: -1r + r = 0 1 + 0 = 2r + -3(r + 5) 1 = 2r + -3(r + 5) Reorder the terms: 1 = 2r + -3(5 + r) 1 = 2r + (5 * -3 + r * -3) 1 = 2r + (-15 + -3r) Reorder the terms: 1 = -15 + 2r + -3r Combine like terms: 2r + -3r = -1r 1 = -15 + -1r Solving 1 = -15 + -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. 1 + r = -15 + -1r + r Combine like terms: -1r + r = 0 1 + r = -15 + 0 1 + r = -15 Add '-1' to each side of the equation. 1 + -1 + r = -15 + -1 Combine like terms: 1 + -1 = 0 0 + r = -15 + -1 r = -15 + -1 Combine like terms: -15 + -1 = -16 r = -16 Simplifying r = -16
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