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Simplifying (-3n + 1) + -1(-5n + 8) = 0 Reorder the terms: (1 + -3n) + -1(-5n + 8) = 0 Remove parenthesis around (1 + -3n) 1 + -3n + -1(-5n + 8) = 0 Reorder the terms: 1 + -3n + -1(8 + -5n) = 0 1 + -3n + (8 * -1 + -5n * -1) = 0 1 + -3n + (-8 + 5n) = 0 Reorder the terms: 1 + -8 + -3n + 5n = 0 Combine like terms: 1 + -8 = -7 -7 + -3n + 5n = 0 Combine like terms: -3n + 5n = 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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