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Simplifying -9(7r + 3) + 6(4r + 6) = 0 Reorder the terms: -9(3 + 7r) + 6(4r + 6) = 0 (3 * -9 + 7r * -9) + 6(4r + 6) = 0 (-27 + -63r) + 6(4r + 6) = 0 Reorder the terms: -27 + -63r + 6(6 + 4r) = 0 -27 + -63r + (6 * 6 + 4r * 6) = 0 -27 + -63r + (36 + 24r) = 0 Reorder the terms: -27 + 36 + -63r + 24r = 0 Combine like terms: -27 + 36 = 9 9 + -63r + 24r = 0 Combine like terms: -63r + 24r = -39r 9 + -39r = 0 Solving 9 + -39r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -39r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -39r = 0 + -9 -39r = 0 + -9 Combine like terms: 0 + -9 = -9 -39r = -9 Divide each side by '-39'. r = 0.2307692308 Simplifying r = 0.2307692308
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