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Simplifying -5(8n + -6) = -34 + -8n Reorder the terms: -5(-6 + 8n) = -34 + -8n (-6 * -5 + 8n * -5) = -34 + -8n (30 + -40n) = -34 + -8n Solving 30 + -40n = -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. 30 + -40n + 8n = -34 + -8n + 8n Combine like terms: -40n + 8n = -32n 30 + -32n = -34 + -8n + 8n Combine like terms: -8n + 8n = 0 30 + -32n = -34 + 0 30 + -32n = -34 Add '-30' to each side of the equation. 30 + -30 + -32n = -34 + -30 Combine like terms: 30 + -30 = 0 0 + -32n = -34 + -30 -32n = -34 + -30 Combine like terms: -34 + -30 = -64 -32n = -64 Divide each side by '-32'. n = 2 Simplifying n = 2
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