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Simplifying -2(1 + 6n) = -34 + -8n (1 * -2 + 6n * -2) = -34 + -8n (-2 + -12n) = -34 + -8n Solving -2 + -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. -2 + -12n + 8n = -34 + -8n + 8n Combine like terms: -12n + 8n = -4n -2 + -4n = -34 + -8n + 8n Combine like terms: -8n + 8n = 0 -2 + -4n = -34 + 0 -2 + -4n = -34 Add '2' to each side of the equation. -2 + 2 + -4n = -34 + 2 Combine like terms: -2 + 2 = 0 0 + -4n = -34 + 2 -4n = -34 + 2 Combine like terms: -34 + 2 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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