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Simplifying -6n + -20 = -2n + 4(i + -3n) Reorder the terms: -20 + -6n = -2n + 4(i + -3n) -20 + -6n = -2n + (i * 4 + -3n * 4) -20 + -6n = -2n + (4i + -12n) Reorder the terms: -20 + -6n = 4i + -2n + -12n Combine like terms: -2n + -12n = -14n -20 + -6n = 4i + -14n Solving -20 + -6n = 4i + -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 = 4i + -14n + 14n Combine like terms: -6n + 14n = 8n -20 + 8n = 4i + -14n + 14n Combine like terms: -14n + 14n = 0 -20 + 8n = 4i + 0 -20 + 8n = 4i Add '20' to each side of the equation. -20 + 20 + 8n = 20 + 4i Combine like terms: -20 + 20 = 0 0 + 8n = 20 + 4i 8n = 20 + 4i Divide each side by '8'. n = 2.5 + 0.5i Simplifying n = 2.5 + 0.5i
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