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Simplifying 4n + 6(n + -4) + -1n = 0 Reorder the terms: 4n + 6(-4 + n) + -1n = 0 4n + (-4 * 6 + n * 6) + -1n = 0 4n + (-24 + 6n) + -1n = 0 Reorder the terms: -24 + 4n + 6n + -1n = 0 Combine like terms: 4n + 6n = 10n -24 + 10n + -1n = 0 Combine like terms: 10n + -1n = 9n -24 + 9n = 0 Solving -24 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 9n = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 9n = 0 + 24 9n = 0 + 24 Combine like terms: 0 + 24 = 24 9n = 24 Divide each side by '9'. n = 2.666666667 Simplifying n = 2.666666667
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