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Simplifying 44n + 7n + -15n + -27n + -7n + -1 = 45 Reorder the terms: -1 + 44n + 7n + -15n + -27n + -7n = 45 Combine like terms: 44n + 7n = 51n -1 + 51n + -15n + -27n + -7n = 45 Combine like terms: 51n + -15n = 36n -1 + 36n + -27n + -7n = 45 Combine like terms: 36n + -27n = 9n -1 + 9n + -7n = 45 Combine like terms: 9n + -7n = 2n -1 + 2n = 45 Solving -1 + 2n = 45 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2n = 45 + 1 Combine like terms: -1 + 1 = 0 0 + 2n = 45 + 1 2n = 45 + 1 Combine like terms: 45 + 1 = 46 2n = 46 Divide each side by '2'. n = 23 Simplifying n = 23
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