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Simplifying 2(7 + 5r) = 3r (7 * 2 + 5r * 2) = 3r (14 + 10r) = 3r Solving 14 + 10r = 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 14 + 10r + -3r = 3r + -3r Combine like terms: 10r + -3r = 7r 14 + 7r = 3r + -3r Combine like terms: 3r + -3r = 0 14 + 7r = 0 Add '-14' to each side of the equation. 14 + -14 + 7r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7r = 0 + -14 7r = 0 + -14 Combine like terms: 0 + -14 = -14 7r = -14 Divide each side by '7'. r = -2 Simplifying r = -2
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