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Simplifying 7 + 4(3n + 5) + -1n = 0 Reorder the terms: 7 + 4(5 + 3n) + -1n = 0 7 + (5 * 4 + 3n * 4) + -1n = 0 7 + (20 + 12n) + -1n = 0 Combine like terms: 7 + 20 = 27 27 + 12n + -1n = 0 Combine like terms: 12n + -1n = 11n 27 + 11n = 0 Solving 27 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 11n = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 11n = 0 + -27 11n = 0 + -27 Combine like terms: 0 + -27 = -27 11n = -27 Divide each side by '11'. n = -2.454545455 Simplifying n = -2.454545455
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