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Simplifying 3(n + 1) + -1(7n + -5) = -5n Reorder the terms: 3(1 + n) + -1(7n + -5) = -5n (1 * 3 + n * 3) + -1(7n + -5) = -5n (3 + 3n) + -1(7n + -5) = -5n Reorder the terms: 3 + 3n + -1(-5 + 7n) = -5n 3 + 3n + (-5 * -1 + 7n * -1) = -5n 3 + 3n + (5 + -7n) = -5n Reorder the terms: 3 + 5 + 3n + -7n = -5n Combine like terms: 3 + 5 = 8 8 + 3n + -7n = -5n Combine like terms: 3n + -7n = -4n 8 + -4n = -5n Solving 8 + -4n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 8 + -4n + 5n = -5n + 5n Combine like terms: -4n + 5n = 1n 8 + 1n = -5n + 5n Combine like terms: -5n + 5n = 0 8 + 1n = 0 Add '-8' to each side of the equation. 8 + -8 + 1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1n = 0 + -8 1n = 0 + -8 Combine like terms: 0 + -8 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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