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Simplifying 6(-3n + 4) = 8n + 34 Reorder the terms: 6(4 + -3n) = 8n + 34 (4 * 6 + -3n * 6) = 8n + 34 (24 + -18n) = 8n + 34 Reorder the terms: 24 + -18n = 34 + 8n Solving 24 + -18n = 34 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 24 + -18n + -8n = 34 + 8n + -8n Combine like terms: -18n + -8n = -26n 24 + -26n = 34 + 8n + -8n Combine like terms: 8n + -8n = 0 24 + -26n = 34 + 0 24 + -26n = 34 Add '-24' to each side of the equation. 24 + -24 + -26n = 34 + -24 Combine like terms: 24 + -24 = 0 0 + -26n = 34 + -24 -26n = 34 + -24 Combine like terms: 34 + -24 = 10 -26n = 10 Divide each side by '-26'. n = -0.3846153846 Simplifying n = -0.3846153846
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