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Simplifying -5(r + -4) = 5(r + 6) Reorder the terms: -5(-4 + r) = 5(r + 6) (-4 * -5 + r * -5) = 5(r + 6) (20 + -5r) = 5(r + 6) Reorder the terms: 20 + -5r = 5(6 + r) 20 + -5r = (6 * 5 + r * 5) 20 + -5r = (30 + 5r) Solving 20 + -5r = 30 + 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. 20 + -5r + -5r = 30 + 5r + -5r Combine like terms: -5r + -5r = -10r 20 + -10r = 30 + 5r + -5r Combine like terms: 5r + -5r = 0 20 + -10r = 30 + 0 20 + -10r = 30 Add '-20' to each side of the equation. 20 + -20 + -10r = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -10r = 30 + -20 -10r = 30 + -20 Combine like terms: 30 + -20 = 10 -10r = 10 Divide each side by '-10'. r = -1 Simplifying r = -1
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