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Simplifying 9(2n + -4) = (9n + 7) + 9 Reorder the terms: 9(-4 + 2n) = (9n + 7) + 9 (-4 * 9 + 2n * 9) = (9n + 7) + 9 (-36 + 18n) = (9n + 7) + 9 Reorder the terms: -36 + 18n = (7 + 9n) + 9 Remove parenthesis around (7 + 9n) -36 + 18n = 7 + 9n + 9 Reorder the terms: -36 + 18n = 7 + 9 + 9n Combine like terms: 7 + 9 = 16 -36 + 18n = 16 + 9n Solving -36 + 18n = 16 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -36 + 18n + -9n = 16 + 9n + -9n Combine like terms: 18n + -9n = 9n -36 + 9n = 16 + 9n + -9n Combine like terms: 9n + -9n = 0 -36 + 9n = 16 + 0 -36 + 9n = 16 Add '36' to each side of the equation. -36 + 36 + 9n = 16 + 36 Combine like terms: -36 + 36 = 0 0 + 9n = 16 + 36 9n = 16 + 36 Combine like terms: 16 + 36 = 52 9n = 52 Divide each side by '9'. n = 5.777777778 Simplifying n = 5.777777778
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