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Simplifying 9(3n + -4) = (5n + 4) + 7 Reorder the terms: 9(-4 + 3n) = (5n + 4) + 7 (-4 * 9 + 3n * 9) = (5n + 4) + 7 (-36 + 27n) = (5n + 4) + 7 Reorder the terms: -36 + 27n = (4 + 5n) + 7 Remove parenthesis around (4 + 5n) -36 + 27n = 4 + 5n + 7 Reorder the terms: -36 + 27n = 4 + 7 + 5n Combine like terms: 4 + 7 = 11 -36 + 27n = 11 + 5n Solving -36 + 27n = 11 + 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. -36 + 27n + -5n = 11 + 5n + -5n Combine like terms: 27n + -5n = 22n -36 + 22n = 11 + 5n + -5n Combine like terms: 5n + -5n = 0 -36 + 22n = 11 + 0 -36 + 22n = 11 Add '36' to each side of the equation. -36 + 36 + 22n = 11 + 36 Combine like terms: -36 + 36 = 0 0 + 22n = 11 + 36 22n = 11 + 36 Combine like terms: 11 + 36 = 47 22n = 47 Divide each side by '22'. n = 2.136363636 Simplifying n = 2.136363636
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