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Simplifying -5(r + -1) = 2(r + -4) + -8 Reorder the terms: -5(-1 + r) = 2(r + -4) + -8 (-1 * -5 + r * -5) = 2(r + -4) + -8 (5 + -5r) = 2(r + -4) + -8 Reorder the terms: 5 + -5r = 2(-4 + r) + -8 5 + -5r = (-4 * 2 + r * 2) + -8 5 + -5r = (-8 + 2r) + -8 Reorder the terms: 5 + -5r = -8 + -8 + 2r Combine like terms: -8 + -8 = -16 5 + -5r = -16 + 2r Solving 5 + -5r = -16 + 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. 5 + -5r + -2r = -16 + 2r + -2r Combine like terms: -5r + -2r = -7r 5 + -7r = -16 + 2r + -2r Combine like terms: 2r + -2r = 0 5 + -7r = -16 + 0 5 + -7r = -16 Add '-5' to each side of the equation. 5 + -5 + -7r = -16 + -5 Combine like terms: 5 + -5 = 0 0 + -7r = -16 + -5 -7r = -16 + -5 Combine like terms: -16 + -5 = -21 -7r = -21 Divide each side by '-7'. r = 3 Simplifying r = 3
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