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Simplifying 3r + 7(r + 10) = 5(r + 2) Reorder the terms: 3r + 7(10 + r) = 5(r + 2) 3r + (10 * 7 + r * 7) = 5(r + 2) 3r + (70 + 7r) = 5(r + 2) Reorder the terms: 70 + 3r + 7r = 5(r + 2) Combine like terms: 3r + 7r = 10r 70 + 10r = 5(r + 2) Reorder the terms: 70 + 10r = 5(2 + r) 70 + 10r = (2 * 5 + r * 5) 70 + 10r = (10 + 5r) Solving 70 + 10r = 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. 70 + 10r + -5r = 10 + 5r + -5r Combine like terms: 10r + -5r = 5r 70 + 5r = 10 + 5r + -5r Combine like terms: 5r + -5r = 0 70 + 5r = 10 + 0 70 + 5r = 10 Add '-70' to each side of the equation. 70 + -70 + 5r = 10 + -70 Combine like terms: 70 + -70 = 0 0 + 5r = 10 + -70 5r = 10 + -70 Combine like terms: 10 + -70 = -60 5r = -60 Divide each side by '5'. r = -12 Simplifying r = -12
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