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