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Simplifying 11(3r + 6) = 9(4r + -1) Reorder the terms: 11(6 + 3r) = 9(4r + -1) (6 * 11 + 3r * 11) = 9(4r + -1) (66 + 33r) = 9(4r + -1) Reorder the terms: 66 + 33r = 9(-1 + 4r) 66 + 33r = (-1 * 9 + 4r * 9) 66 + 33r = (-9 + 36r) Solving 66 + 33r = -9 + 36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36r' to each side of the equation. 66 + 33r + -36r = -9 + 36r + -36r Combine like terms: 33r + -36r = -3r 66 + -3r = -9 + 36r + -36r Combine like terms: 36r + -36r = 0 66 + -3r = -9 + 0 66 + -3r = -9 Add '-66' to each side of the equation. 66 + -66 + -3r = -9 + -66 Combine like terms: 66 + -66 = 0 0 + -3r = -9 + -66 -3r = -9 + -66 Combine like terms: -9 + -66 = -75 -3r = -75 Divide each side by '-3'. r = 25 Simplifying r = 25
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