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Simplifying 8(2n + -5) = (5n + 1) + 8 Reorder the terms: 8(-5 + 2n) = (5n + 1) + 8 (-5 * 8 + 2n * 8) = (5n + 1) + 8 (-40 + 16n) = (5n + 1) + 8 Reorder the terms: -40 + 16n = (1 + 5n) + 8 Remove parenthesis around (1 + 5n) -40 + 16n = 1 + 5n + 8 Reorder the terms: -40 + 16n = 1 + 8 + 5n Combine like terms: 1 + 8 = 9 -40 + 16n = 9 + 5n Solving -40 + 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. -40 + 16n + -5n = 9 + 5n + -5n Combine like terms: 16n + -5n = 11n -40 + 11n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 -40 + 11n = 9 + 0 -40 + 11n = 9 Add '40' to each side of the equation. -40 + 40 + 11n = 9 + 40 Combine like terms: -40 + 40 = 0 0 + 11n = 9 + 40 11n = 9 + 40 Combine like terms: 9 + 40 = 49 11n = 49 Divide each side by '11'. n = 4.454545455 Simplifying n = 4.454545455
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