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Simplifying 8(3n + -2) = (6n + 3) + 8 Reorder the terms: 8(-2 + 3n) = (6n + 3) + 8 (-2 * 8 + 3n * 8) = (6n + 3) + 8 (-16 + 24n) = (6n + 3) + 8 Reorder the terms: -16 + 24n = (3 + 6n) + 8 Remove parenthesis around (3 + 6n) -16 + 24n = 3 + 6n + 8 Reorder the terms: -16 + 24n = 3 + 8 + 6n Combine like terms: 3 + 8 = 11 -16 + 24n = 11 + 6n Solving -16 + 24n = 11 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -16 + 24n + -6n = 11 + 6n + -6n Combine like terms: 24n + -6n = 18n -16 + 18n = 11 + 6n + -6n Combine like terms: 6n + -6n = 0 -16 + 18n = 11 + 0 -16 + 18n = 11 Add '16' to each side of the equation. -16 + 16 + 18n = 11 + 16 Combine like terms: -16 + 16 = 0 0 + 18n = 11 + 16 18n = 11 + 16 Combine like terms: 11 + 16 = 27 18n = 27 Divide each side by '18'. n = 1.5 Simplifying n = 1.5
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