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Simplifying 5 + 3(4n + 2) + -1n = 0 Reorder the terms: 5 + 3(2 + 4n) + -1n = 0 5 + (2 * 3 + 4n * 3) + -1n = 0 5 + (6 + 12n) + -1n = 0 Combine like terms: 5 + 6 = 11 11 + 12n + -1n = 0 Combine like terms: 12n + -1n = 11n 11 + 11n = 0 Solving 11 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 11n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 11n = 0 + -11 11n = 0 + -11 Combine like terms: 0 + -11 = -11 11n = -11 Divide each side by '11'. n = -1 Simplifying n = -1
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