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Simplifying 2(6r + 7) = 39 + 7r Reorder the terms: 2(7 + 6r) = 39 + 7r (7 * 2 + 6r * 2) = 39 + 7r (14 + 12r) = 39 + 7r Solving 14 + 12r = 39 + 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. 14 + 12r + -7r = 39 + 7r + -7r Combine like terms: 12r + -7r = 5r 14 + 5r = 39 + 7r + -7r Combine like terms: 7r + -7r = 0 14 + 5r = 39 + 0 14 + 5r = 39 Add '-14' to each side of the equation. 14 + -14 + 5r = 39 + -14 Combine like terms: 14 + -14 = 0 0 + 5r = 39 + -14 5r = 39 + -14 Combine like terms: 39 + -14 = 25 5r = 25 Divide each side by '5'. r = 5 Simplifying r = 5
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