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Simplifying 2(4r + 6) = 23(12r + 18) Reorder the terms: 2(6 + 4r) = 23(12r + 18) (6 * 2 + 4r * 2) = 23(12r + 18) (12 + 8r) = 23(12r + 18) Reorder the terms: 12 + 8r = 23(18 + 12r) 12 + 8r = (18 * 23 + 12r * 23) 12 + 8r = (414 + 276r) Solving 12 + 8r = 414 + 276r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-276r' to each side of the equation. 12 + 8r + -276r = 414 + 276r + -276r Combine like terms: 8r + -276r = -268r 12 + -268r = 414 + 276r + -276r Combine like terms: 276r + -276r = 0 12 + -268r = 414 + 0 12 + -268r = 414 Add '-12' to each side of the equation. 12 + -12 + -268r = 414 + -12 Combine like terms: 12 + -12 = 0 0 + -268r = 414 + -12 -268r = 414 + -12 Combine like terms: 414 + -12 = 402 -268r = 402 Divide each side by '-268'. r = -1.5 Simplifying r = -1.5
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