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Simplifying 8(2n + -5) = (2n + 3) + 2 Reorder the terms: 8(-5 + 2n) = (2n + 3) + 2 (-5 * 8 + 2n * 8) = (2n + 3) + 2 (-40 + 16n) = (2n + 3) + 2 Reorder the terms: -40 + 16n = (3 + 2n) + 2 Remove parenthesis around (3 + 2n) -40 + 16n = 3 + 2n + 2 Reorder the terms: -40 + 16n = 3 + 2 + 2n Combine like terms: 3 + 2 = 5 -40 + 16n = 5 + 2n Solving -40 + 16n = 5 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -40 + 16n + -2n = 5 + 2n + -2n Combine like terms: 16n + -2n = 14n -40 + 14n = 5 + 2n + -2n Combine like terms: 2n + -2n = 0 -40 + 14n = 5 + 0 -40 + 14n = 5 Add '40' to each side of the equation. -40 + 40 + 14n = 5 + 40 Combine like terms: -40 + 40 = 0 0 + 14n = 5 + 40 14n = 5 + 40 Combine like terms: 5 + 40 = 45 14n = 45 Divide each side by '14'. n = 3.214285714 Simplifying n = 3.214285714
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