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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 = -42 7n = -42 Divide each side by '7'. n = -6 Simplifying n = -6
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