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Simplifying -2(4n + 1) = -32 + -2n Reorder the terms: -2(1 + 4n) = -32 + -2n (1 * -2 + 4n * -2) = -32 + -2n (-2 + -8n) = -32 + -2n Solving -2 + -8n = -32 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -2 + -8n + 2n = -32 + -2n + 2n Combine like terms: -8n + 2n = -6n -2 + -6n = -32 + -2n + 2n Combine like terms: -2n + 2n = 0 -2 + -6n = -32 + 0 -2 + -6n = -32 Add '2' to each side of the equation. -2 + 2 + -6n = -32 + 2 Combine like terms: -2 + 2 = 0 0 + -6n = -32 + 2 -6n = -32 + 2 Combine like terms: -32 + 2 = -30 -6n = -30 Divide each side by '-6'. n = 5 Simplifying n = 5
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