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Simplifying 4n = 5(n + 1) + -3(n + -1) Reorder the terms: 4n = 5(1 + n) + -3(n + -1) 4n = (1 * 5 + n * 5) + -3(n + -1) 4n = (5 + 5n) + -3(n + -1) Reorder the terms: 4n = 5 + 5n + -3(-1 + n) 4n = 5 + 5n + (-1 * -3 + n * -3) 4n = 5 + 5n + (3 + -3n) Reorder the terms: 4n = 5 + 3 + 5n + -3n Combine like terms: 5 + 3 = 8 4n = 8 + 5n + -3n Combine like terms: 5n + -3n = 2n 4n = 8 + 2n Solving 4n = 8 + 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. 4n + -2n = 8 + 2n + -2n Combine like terms: 4n + -2n = 2n 2n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 2n = 8 + 0 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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