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Simplifying 6(4r + 9) = 3(3r + 7) Reorder the terms: 6(9 + 4r) = 3(3r + 7) (9 * 6 + 4r * 6) = 3(3r + 7) (54 + 24r) = 3(3r + 7) Reorder the terms: 54 + 24r = 3(7 + 3r) 54 + 24r = (7 * 3 + 3r * 3) 54 + 24r = (21 + 9r) Solving 54 + 24r = 21 + 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. 54 + 24r + -9r = 21 + 9r + -9r Combine like terms: 24r + -9r = 15r 54 + 15r = 21 + 9r + -9r Combine like terms: 9r + -9r = 0 54 + 15r = 21 + 0 54 + 15r = 21 Add '-54' to each side of the equation. 54 + -54 + 15r = 21 + -54 Combine like terms: 54 + -54 = 0 0 + 15r = 21 + -54 15r = 21 + -54 Combine like terms: 21 + -54 = -33 15r = -33 Divide each side by '15'. r = -2.2 Simplifying r = -2.2
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