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Simplifying 8(2n + -5) = (3n + 2) + 5 Reorder the terms: 8(-5 + 2n) = (3n + 2) + 5 (-5 * 8 + 2n * 8) = (3n + 2) + 5 (-40 + 16n) = (3n + 2) + 5 Reorder the terms: -40 + 16n = (2 + 3n) + 5 Remove parenthesis around (2 + 3n) -40 + 16n = 2 + 3n + 5 Reorder the terms: -40 + 16n = 2 + 5 + 3n Combine like terms: 2 + 5 = 7 -40 + 16n = 7 + 3n Solving -40 + 16n = 7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -40 + 16n + -3n = 7 + 3n + -3n Combine like terms: 16n + -3n = 13n -40 + 13n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 -40 + 13n = 7 + 0 -40 + 13n = 7 Add '40' to each side of the equation. -40 + 40 + 13n = 7 + 40 Combine like terms: -40 + 40 = 0 0 + 13n = 7 + 40 13n = 7 + 40 Combine like terms: 7 + 40 = 47 13n = 47 Divide each side by '13'. n = 3.615384615 Simplifying n = 3.615384615
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