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Simplifying -1(1 + -4n) + -8 = 3(5n + 8) (1 * -1 + -4n * -1) + -8 = 3(5n + 8) (-1 + 4n) + -8 = 3(5n + 8) Reorder the terms: -1 + -8 + 4n = 3(5n + 8) Combine like terms: -1 + -8 = -9 -9 + 4n = 3(5n + 8) Reorder the terms: -9 + 4n = 3(8 + 5n) -9 + 4n = (8 * 3 + 5n * 3) -9 + 4n = (24 + 15n) Solving -9 + 4n = 24 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -9 + 4n + -15n = 24 + 15n + -15n Combine like terms: 4n + -15n = -11n -9 + -11n = 24 + 15n + -15n Combine like terms: 15n + -15n = 0 -9 + -11n = 24 + 0 -9 + -11n = 24 Add '9' to each side of the equation. -9 + 9 + -11n = 24 + 9 Combine like terms: -9 + 9 = 0 0 + -11n = 24 + 9 -11n = 24 + 9 Combine like terms: 24 + 9 = 33 -11n = 33 Divide each side by '-11'. n = -3 Simplifying n = -3
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