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Simplifying 6(1 + -2n) = -8n + 34 (1 * 6 + -2n * 6) = -8n + 34 (6 + -12n) = -8n + 34 Reorder the terms: 6 + -12n = 34 + -8n Solving 6 + -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. 6 + -12n + 8n = 34 + -8n + 8n Combine like terms: -12n + 8n = -4n 6 + -4n = 34 + -8n + 8n Combine like terms: -8n + 8n = 0 6 + -4n = 34 + 0 6 + -4n = 34 Add '-6' to each side of the equation. 6 + -6 + -4n = 34 + -6 Combine like terms: 6 + -6 = 0 0 + -4n = 34 + -6 -4n = 34 + -6 Combine like terms: 34 + -6 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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