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Simplifying 5(6r + -2) = 5r + 10 Reorder the terms: 5(-2 + 6r) = 5r + 10 (-2 * 5 + 6r * 5) = 5r + 10 (-10 + 30r) = 5r + 10 Reorder the terms: -10 + 30r = 10 + 5r Solving -10 + 30r = 10 + 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. -10 + 30r + -5r = 10 + 5r + -5r Combine like terms: 30r + -5r = 25r -10 + 25r = 10 + 5r + -5r Combine like terms: 5r + -5r = 0 -10 + 25r = 10 + 0 -10 + 25r = 10 Add '10' to each side of the equation. -10 + 10 + 25r = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 25r = 10 + 10 25r = 10 + 10 Combine like terms: 10 + 10 = 20 25r = 20 Divide each side by '25'. r = 0.8 Simplifying r = 0.8
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