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Simplifying -4(2n + -1) = -3n + -6 Reorder the terms: -4(-1 + 2n) = -3n + -6 (-1 * -4 + 2n * -4) = -3n + -6 (4 + -8n) = -3n + -6 Reorder the terms: 4 + -8n = -6 + -3n Solving 4 + -8n = -6 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 4 + -8n + 3n = -6 + -3n + 3n Combine like terms: -8n + 3n = -5n 4 + -5n = -6 + -3n + 3n Combine like terms: -3n + 3n = 0 4 + -5n = -6 + 0 4 + -5n = -6 Add '-4' to each side of the equation. 4 + -4 + -5n = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5n = -6 + -4 -5n = -6 + -4 Combine like terms: -6 + -4 = -10 -5n = -10 Divide each side by '-5'. n = 2 Simplifying n = 2
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