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Simplifying 8(3n + -5) = (4n + 9) + 7 Reorder the terms: 8(-5 + 3n) = (4n + 9) + 7 (-5 * 8 + 3n * 8) = (4n + 9) + 7 (-40 + 24n) = (4n + 9) + 7 Reorder the terms: -40 + 24n = (9 + 4n) + 7 Remove parenthesis around (9 + 4n) -40 + 24n = 9 + 4n + 7 Reorder the terms: -40 + 24n = 9 + 7 + 4n Combine like terms: 9 + 7 = 16 -40 + 24n = 16 + 4n Solving -40 + 24n = 16 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -40 + 24n + -4n = 16 + 4n + -4n Combine like terms: 24n + -4n = 20n -40 + 20n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 -40 + 20n = 16 + 0 -40 + 20n = 16 Add '40' to each side of the equation. -40 + 40 + 20n = 16 + 40 Combine like terms: -40 + 40 = 0 0 + 20n = 16 + 40 20n = 16 + 40 Combine like terms: 16 + 40 = 56 20n = 56 Divide each side by '20'. n = 2.8 Simplifying n = 2.8
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