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Simplifying 8(2n + -5) = (9n + 1) + 7 Reorder the terms: 8(-5 + 2n) = (9n + 1) + 7 (-5 * 8 + 2n * 8) = (9n + 1) + 7 (-40 + 16n) = (9n + 1) + 7 Reorder the terms: -40 + 16n = (1 + 9n) + 7 Remove parenthesis around (1 + 9n) -40 + 16n = 1 + 9n + 7 Reorder the terms: -40 + 16n = 1 + 7 + 9n Combine like terms: 1 + 7 = 8 -40 + 16n = 8 + 9n Solving -40 + 16n = 8 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -40 + 16n + -9n = 8 + 9n + -9n Combine like terms: 16n + -9n = 7n -40 + 7n = 8 + 9n + -9n Combine like terms: 9n + -9n = 0 -40 + 7n = 8 + 0 -40 + 7n = 8 Add '40' to each side of the equation. -40 + 40 + 7n = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 7n = 8 + 40 7n = 8 + 40 Combine like terms: 8 + 40 = 48 7n = 48 Divide each side by '7'. n = 6.857142857 Simplifying n = 6.857142857
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