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Simplifying 5(r + 6) = 10(r + -2) Reorder the terms: 5(6 + r) = 10(r + -2) (6 * 5 + r * 5) = 10(r + -2) (30 + 5r) = 10(r + -2) Reorder the terms: 30 + 5r = 10(-2 + r) 30 + 5r = (-2 * 10 + r * 10) 30 + 5r = (-20 + 10r) Solving 30 + 5r = -20 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 30 + 5r + -10r = -20 + 10r + -10r Combine like terms: 5r + -10r = -5r 30 + -5r = -20 + 10r + -10r Combine like terms: 10r + -10r = 0 30 + -5r = -20 + 0 30 + -5r = -20 Add '-30' to each side of the equation. 30 + -30 + -5r = -20 + -30 Combine like terms: 30 + -30 = 0 0 + -5r = -20 + -30 -5r = -20 + -30 Combine like terms: -20 + -30 = -50 -5r = -50 Divide each side by '-5'. r = 10 Simplifying r = 10
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