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Simplifying -6(-1n + -4) + 3(5n + -8) = 5n + -3n Reorder the terms: -6(-4 + -1n) + 3(5n + -8) = 5n + -3n (-4 * -6 + -1n * -6) + 3(5n + -8) = 5n + -3n (24 + 6n) + 3(5n + -8) = 5n + -3n Reorder the terms: 24 + 6n + 3(-8 + 5n) = 5n + -3n 24 + 6n + (-8 * 3 + 5n * 3) = 5n + -3n 24 + 6n + (-24 + 15n) = 5n + -3n Reorder the terms: 24 + -24 + 6n + 15n = 5n + -3n Combine like terms: 24 + -24 = 0 0 + 6n + 15n = 5n + -3n 6n + 15n = 5n + -3n Combine like terms: 6n + 15n = 21n 21n = 5n + -3n Combine like terms: 5n + -3n = 2n 21n = 2n Solving 21n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 21n + -2n = 2n + -2n Combine like terms: 21n + -2n = 19n 19n = 2n + -2n Combine like terms: 2n + -2n = 0 19n = 0 Divide each side by '19'. n = 0 Simplifying n = 0
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