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Simplifying 3n + 4(n + 9) = -78 Reorder the terms: 3n + 4(9 + n) = -78 3n + (9 * 4 + n * 4) = -78 3n + (36 + 4n) = -78 Reorder the terms: 36 + 3n + 4n = -78 Combine like terms: 3n + 4n = 7n 36 + 7n = -78 Solving 36 + 7n = -78 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 7n = -78 + -36 Combine like terms: 36 + -36 = 0 0 + 7n = -78 + -36 7n = -78 + -36 Combine like terms: -78 + -36 = -114 7n = -114 Divide each side by '7'. n = -16.28571429 Simplifying n = -16.28571429
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