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Simplifying 2(4r + 6) = 2 * 3(12r + 18) Reorder the terms: 2(6 + 4r) = 2 * 3(12r + 18) (6 * 2 + 4r * 2) = 2 * 3(12r + 18) (12 + 8r) = 2 * 3(12r + 18) Reorder the terms: 12 + 8r = 2 * 3(18 + 12r) Multiply 2 * 3 12 + 8r = 6(18 + 12r) 12 + 8r = (18 * 6 + 12r * 6) 12 + 8r = (108 + 72r) Solving 12 + 8r = 108 + 72r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-72r' to each side of the equation. 12 + 8r + -72r = 108 + 72r + -72r Combine like terms: 8r + -72r = -64r 12 + -64r = 108 + 72r + -72r Combine like terms: 72r + -72r = 0 12 + -64r = 108 + 0 12 + -64r = 108 Add '-12' to each side of the equation. 12 + -12 + -64r = 108 + -12 Combine like terms: 12 + -12 = 0 0 + -64r = 108 + -12 -64r = 108 + -12 Combine like terms: 108 + -12 = 96 -64r = 96 Divide each side by '-64'. r = -1.5 Simplifying r = -1.5
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