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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 Reorder the terms for easier multiplication: -36 + 27n = 1(4 + 7n) -36 + 27n = (4 * 1 + 7n * 1) -36 + 27n = (4 + 7n) Solving -36 + 27n = 4 + 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 = 4 + 7n + -7n Combine like terms: 27n + -7n = 20n -36 + 20n = 4 + 7n + -7n Combine like terms: 7n + -7n = 0 -36 + 20n = 4 + 0 -36 + 20n = 4 Add '36' to each side of the equation. -36 + 36 + 20n = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 20n = 4 + 36 20n = 4 + 36 Combine like terms: 4 + 36 = 40 20n = 40 Divide each side by '20'. n = 2 Simplifying n = 2
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