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Simplifying 3n + 1 + n + -2 + 2n + -3 = 74 Reorder the terms: 1 + -2 + -3 + 3n + n + 2n = 74 Combine like terms: 1 + -2 = -1 -1 + -3 + 3n + n + 2n = 74 Combine like terms: -1 + -3 = -4 -4 + 3n + n + 2n = 74 Combine like terms: 3n + n = 4n -4 + 4n + 2n = 74 Combine like terms: 4n + 2n = 6n -4 + 6n = 74 Solving -4 + 6n = 74 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6n = 74 + 4 Combine like terms: -4 + 4 = 0 0 + 6n = 74 + 4 6n = 74 + 4 Combine like terms: 74 + 4 = 78 6n = 78 Divide each side by '6'. n = 13 Simplifying n = 13
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