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Simplifying 3n + -5 = 8 + -1(1 + -1n) Reorder the terms: -5 + 3n = 8 + -1(1 + -1n) -5 + 3n = 8 + (1 * -1 + -1n * -1) -5 + 3n = 8 + (-1 + 1n) Combine like terms: 8 + -1 = 7 -5 + 3n = 7 + 1n Solving -5 + 3n = 7 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -5 + 3n + -1n = 7 + 1n + -1n Combine like terms: 3n + -1n = 2n -5 + 2n = 7 + 1n + -1n Combine like terms: 1n + -1n = 0 -5 + 2n = 7 + 0 -5 + 2n = 7 Add '5' to each side of the equation. -5 + 5 + 2n = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2n = 7 + 5 2n = 7 + 5 Combine like terms: 7 + 5 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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