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Simplifying 2(1 + -2n) = 30 + -8n (1 * 2 + -2n * 2) = 30 + -8n (2 + -4n) = 30 + -8n Solving 2 + -4n = 30 + -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 + -4n + 8n = 30 + -8n + 8n Combine like terms: -4n + 8n = 4n 2 + 4n = 30 + -8n + 8n Combine like terms: -8n + 8n = 0 2 + 4n = 30 + 0 2 + 4n = 30 Add '-2' to each side of the equation. 2 + -2 + 4n = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 4n = 30 + -2 4n = 30 + -2 Combine like terms: 30 + -2 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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