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Simplifying 7 + 3(4n + 5) + -1n = 0 Reorder the terms: 7 + 3(5 + 4n) + -1n = 0 7 + (5 * 3 + 4n * 3) + -1n = 0 7 + (15 + 12n) + -1n = 0 Combine like terms: 7 + 15 = 22 22 + 12n + -1n = 0 Combine like terms: 12n + -1n = 11n 22 + 11n = 0 Solving 22 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 11n = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 11n = 0 + -22 11n = 0 + -22 Combine like terms: 0 + -22 = -22 11n = -22 Divide each side by '11'. n = -2 Simplifying n = -2
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