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Simplifying 2(r + 5) = 7r + -10 Reorder the terms: 2(5 + r) = 7r + -10 (5 * 2 + r * 2) = 7r + -10 (10 + 2r) = 7r + -10 Reorder the terms: 10 + 2r = -10 + 7r Solving 10 + 2r = -10 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 10 + 2r + -7r = -10 + 7r + -7r Combine like terms: 2r + -7r = -5r 10 + -5r = -10 + 7r + -7r Combine like terms: 7r + -7r = 0 10 + -5r = -10 + 0 10 + -5r = -10 Add '-10' to each side of the equation. 10 + -10 + -5r = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -5r = -10 + -10 -5r = -10 + -10 Combine like terms: -10 + -10 = -20 -5r = -20 Divide each side by '-5'. r = 4 Simplifying r = 4
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