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Simplifying -1(-8 + -4r) = 5(3 + r) (-8 * -1 + -4r * -1) = 5(3 + r) (8 + 4r) = 5(3 + r) 8 + 4r = (3 * 5 + r * 5) 8 + 4r = (15 + 5r) Solving 8 + 4r = 15 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 8 + 4r + -5r = 15 + 5r + -5r Combine like terms: 4r + -5r = -1r 8 + -1r = 15 + 5r + -5r Combine like terms: 5r + -5r = 0 8 + -1r = 15 + 0 8 + -1r = 15 Add '-8' to each side of the equation. 8 + -8 + -1r = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 15 + -8 -1r = 15 + -8 Combine like terms: 15 + -8 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7
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