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Simplifying 6(4 + 2r) = 3(5r + 3) (4 * 6 + 2r * 6) = 3(5r + 3) (24 + 12r) = 3(5r + 3) Reorder the terms: 24 + 12r = 3(3 + 5r) 24 + 12r = (3 * 3 + 5r * 3) 24 + 12r = (9 + 15r) Solving 24 + 12r = 9 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. 24 + 12r + -15r = 9 + 15r + -15r Combine like terms: 12r + -15r = -3r 24 + -3r = 9 + 15r + -15r Combine like terms: 15r + -15r = 0 24 + -3r = 9 + 0 24 + -3r = 9 Add '-24' to each side of the equation. 24 + -24 + -3r = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -3r = 9 + -24 -3r = 9 + -24 Combine like terms: 9 + -24 = -15 -3r = -15 Divide each side by '-3'. r = 5 Simplifying r = 5
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