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Simplifying 3n + -5 = 7n + 1i Reorder the terms: -5 + 3n = 7n + 1i Reorder the terms: -5 + 3n = 1i + 7n Solving -5 + 3n = 1i + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -5 + 3n + -7n = 1i + 7n + -7n Combine like terms: 3n + -7n = -4n -5 + -4n = 1i + 7n + -7n Combine like terms: 7n + -7n = 0 -5 + -4n = 1i + 0 -5 + -4n = 1i Add '5' to each side of the equation. -5 + 5 + -4n = 5 + 1i Combine like terms: -5 + 5 = 0 0 + -4n = 5 + 1i -4n = 5 + 1i Divide each side by '-4'. n = -1.25 + -0.25i Simplifying n = -1.25 + -0.25i
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