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Simplifying 3(10r + 9) = 3(7r + 9) Reorder the terms: 3(9 + 10r) = 3(7r + 9) (9 * 3 + 10r * 3) = 3(7r + 9) (27 + 30r) = 3(7r + 9) Reorder the terms: 27 + 30r = 3(9 + 7r) 27 + 30r = (9 * 3 + 7r * 3) 27 + 30r = (27 + 21r) Add '-27' to each side of the equation. 27 + -27 + 30r = 27 + -27 + 21r Combine like terms: 27 + -27 = 0 0 + 30r = 27 + -27 + 21r 30r = 27 + -27 + 21r Combine like terms: 27 + -27 = 0 30r = 0 + 21r 30r = 21r Solving 30r = 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. 30r + -21r = 21r + -21r Combine like terms: 30r + -21r = 9r 9r = 21r + -21r Combine like terms: 21r + -21r = 0 9r = 0 Divide each side by '9'. r = 0 Simplifying r = 0
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