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Simplifying 7r + 7(r + 20) = 770 Reorder the terms: 7r + 7(20 + r) = 770 7r + (20 * 7 + r * 7) = 770 7r + (140 + 7r) = 770 Reorder the terms: 140 + 7r + 7r = 770 Combine like terms: 7r + 7r = 14r 140 + 14r = 770 Solving 140 + 14r = 770 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + 14r = 770 + -140 Combine like terms: 140 + -140 = 0 0 + 14r = 770 + -140 14r = 770 + -140 Combine like terms: 770 + -140 = 630 14r = 630 Divide each side by '14'. r = 45 Simplifying r = 45
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