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Simplifying 8(3n + -5) = (9n + 4) + 2 Reorder the terms: 8(-5 + 3n) = (9n + 4) + 2 (-5 * 8 + 3n * 8) = (9n + 4) + 2 (-40 + 24n) = (9n + 4) + 2 Reorder the terms: -40 + 24n = (4 + 9n) + 2 Remove parenthesis around (4 + 9n) -40 + 24n = 4 + 9n + 2 Reorder the terms: -40 + 24n = 4 + 2 + 9n Combine like terms: 4 + 2 = 6 -40 + 24n = 6 + 9n Solving -40 + 24n = 6 + 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 + 24n + -9n = 6 + 9n + -9n Combine like terms: 24n + -9n = 15n -40 + 15n = 6 + 9n + -9n Combine like terms: 9n + -9n = 0 -40 + 15n = 6 + 0 -40 + 15n = 6 Add '40' to each side of the equation. -40 + 40 + 15n = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 15n = 6 + 40 15n = 6 + 40 Combine like terms: 6 + 40 = 46 15n = 46 Divide each side by '15'. n = 3.066666667 Simplifying n = 3.066666667
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