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Simplifying 6(3n + 4) + n = -71 Reorder the terms: 6(4 + 3n) + n = -71 (4 * 6 + 3n * 6) + n = -71 (24 + 18n) + n = -71 Combine like terms: 18n + n = 19n 24 + 19n = -71 Solving 24 + 19n = -71 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 19n = -71 + -24 Combine like terms: 24 + -24 = 0 0 + 19n = -71 + -24 19n = -71 + -24 Combine like terms: -71 + -24 = -95 19n = -95 Divide each side by '19'. n = -5 Simplifying n = -5
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