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Simplifying 9(3n + -4) = (7n + 4) + 1 Reorder the terms: 9(-4 + 3n) = (7n + 4) + 1 (-4 * 9 + 3n * 9) = (7n + 4) + 1 (-36 + 27n) = (7n + 4) + 1 Reorder the terms: -36 + 27n = (4 + 7n) + 1 Remove parenthesis around (4 + 7n) -36 + 27n = 4 + 7n + 1 Reorder the terms: -36 + 27n = 4 + 1 + 7n Combine like terms: 4 + 1 = 5 -36 + 27n = 5 + 7n Solving -36 + 27n = 5 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -36 + 27n + -7n = 5 + 7n + -7n Combine like terms: 27n + -7n = 20n -36 + 20n = 5 + 7n + -7n Combine like terms: 7n + -7n = 0 -36 + 20n = 5 + 0 -36 + 20n = 5 Add '36' to each side of the equation. -36 + 36 + 20n = 5 + 36 Combine like terms: -36 + 36 = 0 0 + 20n = 5 + 36 20n = 5 + 36 Combine like terms: 5 + 36 = 41 20n = 41 Divide each side by '20'. n = 2.05 Simplifying n = 2.05
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