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Simplifying 17.1j + 3.51 = 16.01 + 18.2j + -11.4 Reorder the terms: 3.51 + 17.1j = 16.01 + 18.2j + -11.4 Reorder the terms: 3.51 + 17.1j = 16.01 + -11.4 + 18.2j Combine like terms: 16.01 + -11.4 = 4.61 3.51 + 17.1j = 4.61 + 18.2j Solving 3.51 + 17.1j = 4.61 + 18.2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-18.2j' to each side of the equation. 3.51 + 17.1j + -18.2j = 4.61 + 18.2j + -18.2j Combine like terms: 17.1j + -18.2j = -1.1j 3.51 + -1.1j = 4.61 + 18.2j + -18.2j Combine like terms: 18.2j + -18.2j = 0.0 3.51 + -1.1j = 4.61 + 0.0 3.51 + -1.1j = 4.61 Add '-3.51' to each side of the equation. 3.51 + -3.51 + -1.1j = 4.61 + -3.51 Combine like terms: 3.51 + -3.51 = 0.00 0.00 + -1.1j = 4.61 + -3.51 -1.1j = 4.61 + -3.51 Combine like terms: 4.61 + -3.51 = 1.1 -1.1j = 1.1 Divide each side by '-1.1'. j = -1 Simplifying j = -1
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