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Simplifying -6n + -20 = -2n + 4[1 + -3n] Reorder the terms: -20 + -6n = -2n + 4[1 + -3n] -20 + -6n = -2n + [1 * 4 + -3n * 4] -20 + -6n = -2n + [4 + -12n] Reorder the terms: -20 + -6n = 4 + -2n + -12n Combine like terms: -2n + -12n = -14n -20 + -6n = 4 + -14n Solving -20 + -6n = 4 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -20 + -6n + 14n = 4 + -14n + 14n Combine like terms: -6n + 14n = 8n -20 + 8n = 4 + -14n + 14n Combine like terms: -14n + 14n = 0 -20 + 8n = 4 + 0 -20 + 8n = 4 Add '20' to each side of the equation. -20 + 20 + 8n = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 8n = 4 + 20 8n = 4 + 20 Combine like terms: 4 + 20 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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