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