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