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Simplifying 5n + 34 = -2(1 + -7j) Reorder the terms: 34 + 5n = -2(1 + -7j) 34 + 5n = (1 * -2 + -7j * -2) 34 + 5n = (-2 + 14j) Solving 34 + 5n = -2 + 14j Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 5n = -2 + -34 + 14j Combine like terms: 34 + -34 = 0 0 + 5n = -2 + -34 + 14j 5n = -2 + -34 + 14j Combine like terms: -2 + -34 = -36 5n = -36 + 14j Divide each side by '5'. n = -7.2 + 2.8j Simplifying n = -7.2 + 2.8j
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