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Simplifying 8(2n + -1) = (5n + 8) + 1 Reorder the terms: 8(-1 + 2n) = (5n + 8) + 1 (-1 * 8 + 2n * 8) = (5n + 8) + 1 (-8 + 16n) = (5n + 8) + 1 Reorder the terms: -8 + 16n = (8 + 5n) + 1 Remove parenthesis around (8 + 5n) -8 + 16n = 8 + 5n + 1 Reorder the terms: -8 + 16n = 8 + 1 + 5n Combine like terms: 8 + 1 = 9 -8 + 16n = 9 + 5n Solving -8 + 16n = 9 + 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 + 16n + -5n = 9 + 5n + -5n Combine like terms: 16n + -5n = 11n -8 + 11n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + 11n = 9 + 0 -8 + 11n = 9 Add '8' to each side of the equation. -8 + 8 + 11n = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 11n = 9 + 8 11n = 9 + 8 Combine like terms: 9 + 8 = 17 11n = 17 Divide each side by '11'. n = 1.545454545 Simplifying n = 1.545454545
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