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Simplifying 8(3n + -2) = (3n + 5) + 3 Reorder the terms: 8(-2 + 3n) = (3n + 5) + 3 (-2 * 8 + 3n * 8) = (3n + 5) + 3 (-16 + 24n) = (3n + 5) + 3 Reorder the terms: -16 + 24n = (5 + 3n) + 3 Remove parenthesis around (5 + 3n) -16 + 24n = 5 + 3n + 3 Reorder the terms: -16 + 24n = 5 + 3 + 3n Combine like terms: 5 + 3 = 8 -16 + 24n = 8 + 3n Solving -16 + 24n = 8 + 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. -16 + 24n + -3n = 8 + 3n + -3n Combine like terms: 24n + -3n = 21n -16 + 21n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -16 + 21n = 8 + 0 -16 + 21n = 8 Add '16' to each side of the equation. -16 + 16 + 21n = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 21n = 8 + 16 21n = 8 + 16 Combine like terms: 8 + 16 = 24 21n = 24 Divide each side by '21'. n = 1.142857143 Simplifying n = 1.142857143
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