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Simplifying -2(-6n + 1) = 4n + 30 Reorder the terms: -2(1 + -6n) = 4n + 30 (1 * -2 + -6n * -2) = 4n + 30 (-2 + 12n) = 4n + 30 Reorder the terms: -2 + 12n = 30 + 4n Solving -2 + 12n = 30 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -2 + 12n + -4n = 30 + 4n + -4n Combine like terms: 12n + -4n = 8n -2 + 8n = 30 + 4n + -4n Combine like terms: 4n + -4n = 0 -2 + 8n = 30 + 0 -2 + 8n = 30 Add '2' to each side of the equation. -2 + 2 + 8n = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 8n = 30 + 2 8n = 30 + 2 Combine like terms: 30 + 2 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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