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Simplifying -6(5 + -7n) + 2n = 24 (5 * -6 + -7n * -6) + 2n = 24 (-30 + 42n) + 2n = 24 Combine like terms: 42n + 2n = 44n -30 + 44n = 24 Solving -30 + 44n = 24 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 44n = 24 + 30 Combine like terms: -30 + 30 = 0 0 + 44n = 24 + 30 44n = 24 + 30 Combine like terms: 24 + 30 = 54 44n = 54 Divide each side by '44'. n = 1.227272727 Simplifying n = 1.227272727
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