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Simplifying 8(2n + -5) = (9n + 2) + 9 Reorder the terms: 8(-5 + 2n) = (9n + 2) + 9 (-5 * 8 + 2n * 8) = (9n + 2) + 9 (-40 + 16n) = (9n + 2) + 9 Reorder the terms: -40 + 16n = (2 + 9n) + 9 Remove parenthesis around (2 + 9n) -40 + 16n = 2 + 9n + 9 Reorder the terms: -40 + 16n = 2 + 9 + 9n Combine like terms: 2 + 9 = 11 -40 + 16n = 11 + 9n Solving -40 + 16n = 11 + 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 = 11 + 9n + -9n Combine like terms: 16n + -9n = 7n -40 + 7n = 11 + 9n + -9n Combine like terms: 9n + -9n = 0 -40 + 7n = 11 + 0 -40 + 7n = 11 Add '40' to each side of the equation. -40 + 40 + 7n = 11 + 40 Combine like terms: -40 + 40 = 0 0 + 7n = 11 + 40 7n = 11 + 40 Combine like terms: 11 + 40 = 51 7n = 51 Divide each side by '7'. n = 7.285714286 Simplifying n = 7.285714286
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