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Simplifying 3(r + 8) = 3(3r + 6) Reorder the terms: 3(8 + r) = 3(3r + 6) (8 * 3 + r * 3) = 3(3r + 6) (24 + 3r) = 3(3r + 6) Reorder the terms: 24 + 3r = 3(6 + 3r) 24 + 3r = (6 * 3 + 3r * 3) 24 + 3r = (18 + 9r) Solving 24 + 3r = 18 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 24 + 3r + -9r = 18 + 9r + -9r Combine like terms: 3r + -9r = -6r 24 + -6r = 18 + 9r + -9r Combine like terms: 9r + -9r = 0 24 + -6r = 18 + 0 24 + -6r = 18 Add '-24' to each side of the equation. 24 + -24 + -6r = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -6r = 18 + -24 -6r = 18 + -24 Combine like terms: 18 + -24 = -6 -6r = -6 Divide each side by '-6'. r = 1 Simplifying r = 1
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