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Simplifying -3(r + -5) + -1 = -1(2r + -8) + -2r Reorder the terms: -3(-5 + r) + -1 = -1(2r + -8) + -2r (-5 * -3 + r * -3) + -1 = -1(2r + -8) + -2r (15 + -3r) + -1 = -1(2r + -8) + -2r Reorder the terms: 15 + -1 + -3r = -1(2r + -8) + -2r Combine like terms: 15 + -1 = 14 14 + -3r = -1(2r + -8) + -2r Reorder the terms: 14 + -3r = -1(-8 + 2r) + -2r 14 + -3r = (-8 * -1 + 2r * -1) + -2r 14 + -3r = (8 + -2r) + -2r Combine like terms: -2r + -2r = -4r 14 + -3r = 8 + -4r Solving 14 + -3r = 8 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 14 + -3r + 4r = 8 + -4r + 4r Combine like terms: -3r + 4r = 1r 14 + 1r = 8 + -4r + 4r Combine like terms: -4r + 4r = 0 14 + 1r = 8 + 0 14 + 1r = 8 Add '-14' to each side of the equation. 14 + -14 + 1r = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 1r = 8 + -14 1r = 8 + -14 Combine like terms: 8 + -14 = -6 1r = -6 Divide each side by '1'. r = -6 Simplifying r = -6
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