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Simplifying 18n + 32(4n + 7) = 3582 Reorder the terms: 18n + 32(7 + 4n) = 3582 18n + (7 * 32 + 4n * 32) = 3582 18n + (224 + 128n) = 3582 Reorder the terms: 224 + 18n + 128n = 3582 Combine like terms: 18n + 128n = 146n 224 + 146n = 3582 Solving 224 + 146n = 3582 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-224' to each side of the equation. 224 + -224 + 146n = 3582 + -224 Combine like terms: 224 + -224 = 0 0 + 146n = 3582 + -224 146n = 3582 + -224 Combine like terms: 3582 + -224 = 3358 146n = 3358 Divide each side by '146'. n = 23 Simplifying n = 23
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