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Simplifying 2(6n + -5) = -34 + 8n Reorder the terms: 2(-5 + 6n) = -34 + 8n (-5 * 2 + 6n * 2) = -34 + 8n (-10 + 12n) = -34 + 8n Solving -10 + 12n = -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. -10 + 12n + -8n = -34 + 8n + -8n Combine like terms: 12n + -8n = 4n -10 + 4n = -34 + 8n + -8n Combine like terms: 8n + -8n = 0 -10 + 4n = -34 + 0 -10 + 4n = -34 Add '10' to each side of the equation. -10 + 10 + 4n = -34 + 10 Combine like terms: -10 + 10 = 0 0 + 4n = -34 + 10 4n = -34 + 10 Combine like terms: -34 + 10 = -24 4n = -24 Divide each side by '4'. n = -6 Simplifying n = -6
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