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Simplifying 9(3n + -2) = (5n + 4) + 8 Reorder the terms: 9(-2 + 3n) = (5n + 4) + 8 (-2 * 9 + 3n * 9) = (5n + 4) + 8 (-18 + 27n) = (5n + 4) + 8 Reorder the terms: -18 + 27n = (4 + 5n) + 8 Remove parenthesis around (4 + 5n) -18 + 27n = 4 + 5n + 8 Reorder the terms: -18 + 27n = 4 + 8 + 5n Combine like terms: 4 + 8 = 12 -18 + 27n = 12 + 5n Solving -18 + 27n = 12 + 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. -18 + 27n + -5n = 12 + 5n + -5n Combine like terms: 27n + -5n = 22n -18 + 22n = 12 + 5n + -5n Combine like terms: 5n + -5n = 0 -18 + 22n = 12 + 0 -18 + 22n = 12 Add '18' to each side of the equation. -18 + 18 + 22n = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 22n = 12 + 18 22n = 12 + 18 Combine like terms: 12 + 18 = 30 22n = 30 Divide each side by '22'. n = 1.363636364 Simplifying n = 1.363636364
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