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Simplifying 8(3n + -3) = (5n + 4) + 6 Reorder the terms: 8(-3 + 3n) = (5n + 4) + 6 (-3 * 8 + 3n * 8) = (5n + 4) + 6 (-24 + 24n) = (5n + 4) + 6 Reorder the terms: -24 + 24n = (4 + 5n) + 6 Remove parenthesis around (4 + 5n) -24 + 24n = 4 + 5n + 6 Reorder the terms: -24 + 24n = 4 + 6 + 5n Combine like terms: 4 + 6 = 10 -24 + 24n = 10 + 5n Solving -24 + 24n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -24 + 24n + -5n = 10 + 5n + -5n Combine like terms: 24n + -5n = 19n -24 + 19n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -24 + 19n = 10 + 0 -24 + 19n = 10 Add '24' to each side of the equation. -24 + 24 + 19n = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 19n = 10 + 24 19n = 10 + 24 Combine like terms: 10 + 24 = 34 19n = 34 Divide each side by '19'. n = 1.789473684 Simplifying n = 1.789473684
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