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Simplifying 9(3n + -1) = -29 + 7n Reorder the terms: 9(-1 + 3n) = -29 + 7n (-1 * 9 + 3n * 9) = -29 + 7n (-9 + 27n) = -29 + 7n Solving -9 + 27n = -29 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -9 + 27n + -7n = -29 + 7n + -7n Combine like terms: 27n + -7n = 20n -9 + 20n = -29 + 7n + -7n Combine like terms: 7n + -7n = 0 -9 + 20n = -29 + 0 -9 + 20n = -29 Add '9' to each side of the equation. -9 + 9 + 20n = -29 + 9 Combine like terms: -9 + 9 = 0 0 + 20n = -29 + 9 20n = -29 + 9 Combine like terms: -29 + 9 = -20 20n = -20 Divide each side by '20'. n = -1 Simplifying n = -1
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