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Simplifying 4n + 3(n + -5) + 2 = 0 Reorder the terms: 4n + 3(-5 + n) + 2 = 0 4n + (-5 * 3 + n * 3) + 2 = 0 4n + (-15 + 3n) + 2 = 0 Reorder the terms: -15 + 2 + 4n + 3n = 0 Combine like terms: -15 + 2 = -13 -13 + 4n + 3n = 0 Combine like terms: 4n + 3n = 7n -13 + 7n = 0 Solving -13 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 7n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 7n = 0 + 13 7n = 0 + 13 Combine like terms: 0 + 13 = 13 7n = 13 Divide each side by '7'. n = 1.857142857 Simplifying n = 1.857142857
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