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Simplifying 8(3n + -4) = (6n + 1) + 9 Reorder the terms: 8(-4 + 3n) = (6n + 1) + 9 (-4 * 8 + 3n * 8) = (6n + 1) + 9 (-32 + 24n) = (6n + 1) + 9 Reorder the terms: -32 + 24n = (1 + 6n) + 9 Remove parenthesis around (1 + 6n) -32 + 24n = 1 + 6n + 9 Reorder the terms: -32 + 24n = 1 + 9 + 6n Combine like terms: 1 + 9 = 10 -32 + 24n = 10 + 6n Solving -32 + 24n = 10 + 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. -32 + 24n + -6n = 10 + 6n + -6n Combine like terms: 24n + -6n = 18n -32 + 18n = 10 + 6n + -6n Combine like terms: 6n + -6n = 0 -32 + 18n = 10 + 0 -32 + 18n = 10 Add '32' to each side of the equation. -32 + 32 + 18n = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 18n = 10 + 32 18n = 10 + 32 Combine like terms: 10 + 32 = 42 18n = 42 Divide each side by '18'. n = 2.333333333 Simplifying n = 2.333333333
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