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