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Simplifying 7r + 7(r + 30) = 770 Reorder the terms: 7r + 7(30 + r) = 770 7r + (30 * 7 + r * 7) = 770 7r + (210 + 7r) = 770 Reorder the terms: 210 + 7r + 7r = 770 Combine like terms: 7r + 7r = 14r 210 + 14r = 770 Solving 210 + 14r = 770 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-210' to each side of the equation. 210 + -210 + 14r = 770 + -210 Combine like terms: 210 + -210 = 0 0 + 14r = 770 + -210 14r = 770 + -210 Combine like terms: 770 + -210 = 560 14r = 560 Divide each side by '14'. r = 40 Simplifying r = 40
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