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Simplifying (5n + -8) + -1(3n + -1) = 0 Reorder the terms: (-8 + 5n) + -1(3n + -1) = 0 Remove parenthesis around (-8 + 5n) -8 + 5n + -1(3n + -1) = 0 Reorder the terms: -8 + 5n + -1(-1 + 3n) = 0 -8 + 5n + (-1 * -1 + 3n * -1) = 0 -8 + 5n + (1 + -3n) = 0 Reorder the terms: -8 + 1 + 5n + -3n = 0 Combine like terms: -8 + 1 = -7 -7 + 5n + -3n = 0 Combine like terms: 5n + -3n = 2n -7 + 2n = 0 Solving -7 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2n = 0 + 7 2n = 0 + 7 Combine like terms: 0 + 7 = 7 2n = 7 Divide each side by '2'. n = 3.5 Simplifying n = 3.5
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