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Simplifying 2(4r + 6) = 3(2r + 6) Reorder the terms: 2(6 + 4r) = 3(2r + 6) (6 * 2 + 4r * 2) = 3(2r + 6) (12 + 8r) = 3(2r + 6) Reorder the terms: 12 + 8r = 3(6 + 2r) 12 + 8r = (6 * 3 + 2r * 3) 12 + 8r = (18 + 6r) Solving 12 + 8r = 18 + 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. 12 + 8r + -6r = 18 + 6r + -6r Combine like terms: 8r + -6r = 2r 12 + 2r = 18 + 6r + -6r Combine like terms: 6r + -6r = 0 12 + 2r = 18 + 0 12 + 2r = 18 Add '-12' to each side of the equation. 12 + -12 + 2r = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2r = 18 + -12 2r = 18 + -12 Combine like terms: 18 + -12 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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