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Simplifying 14(3r + 12) = 9(5r + -1) Reorder the terms: 14(12 + 3r) = 9(5r + -1) (12 * 14 + 3r * 14) = 9(5r + -1) (168 + 42r) = 9(5r + -1) Reorder the terms: 168 + 42r = 9(-1 + 5r) 168 + 42r = (-1 * 9 + 5r * 9) 168 + 42r = (-9 + 45r) Solving 168 + 42r = -9 + 45r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-45r' to each side of the equation. 168 + 42r + -45r = -9 + 45r + -45r Combine like terms: 42r + -45r = -3r 168 + -3r = -9 + 45r + -45r Combine like terms: 45r + -45r = 0 168 + -3r = -9 + 0 168 + -3r = -9 Add '-168' to each side of the equation. 168 + -168 + -3r = -9 + -168 Combine like terms: 168 + -168 = 0 0 + -3r = -9 + -168 -3r = -9 + -168 Combine like terms: -9 + -168 = -177 -3r = -177 Divide each side by '-3'. r = 59 Simplifying r = 59
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