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Simplifying 3(3r + 1) = 21 + 6r Reorder the terms: 3(1 + 3r) = 21 + 6r (1 * 3 + 3r * 3) = 21 + 6r (3 + 9r) = 21 + 6r Solving 3 + 9r = 21 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 3 + 9r + -6r = 21 + 6r + -6r Combine like terms: 9r + -6r = 3r 3 + 3r = 21 + 6r + -6r Combine like terms: 6r + -6r = 0 3 + 3r = 21 + 0 3 + 3r = 21 Add '-3' to each side of the equation. 3 + -3 + 3r = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 3r = 21 + -3 3r = 21 + -3 Combine like terms: 21 + -3 = 18 3r = 18 Divide each side by '3'. r = 6 Simplifying r = 6
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