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Simplifying 9(2n + -4) = (3n + 6) + 8 Reorder the terms: 9(-4 + 2n) = (3n + 6) + 8 (-4 * 9 + 2n * 9) = (3n + 6) + 8 (-36 + 18n) = (3n + 6) + 8 Reorder the terms: -36 + 18n = (6 + 3n) + 8 Remove parenthesis around (6 + 3n) -36 + 18n = 6 + 3n + 8 Reorder the terms: -36 + 18n = 6 + 8 + 3n Combine like terms: 6 + 8 = 14 -36 + 18n = 14 + 3n Solving -36 + 18n = 14 + 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. -36 + 18n + -3n = 14 + 3n + -3n Combine like terms: 18n + -3n = 15n -36 + 15n = 14 + 3n + -3n Combine like terms: 3n + -3n = 0 -36 + 15n = 14 + 0 -36 + 15n = 14 Add '36' to each side of the equation. -36 + 36 + 15n = 14 + 36 Combine like terms: -36 + 36 = 0 0 + 15n = 14 + 36 15n = 14 + 36 Combine like terms: 14 + 36 = 50 15n = 50 Divide each side by '15'. n = 3.333333333 Simplifying n = 3.333333333
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