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Simplifying 2.4j + -53.19 + -36.3j = 97.54 + -2(15.4j + -64.6) Reorder the terms: -53.19 + 2.4j + -36.3j = 97.54 + -2(15.4j + -64.6) Combine like terms: 2.4j + -36.3j = -33.9j -53.19 + -33.9j = 97.54 + -2(15.4j + -64.6) Reorder the terms: -53.19 + -33.9j = 97.54 + -2(-64.6 + 15.4j) -53.19 + -33.9j = 97.54 + (-64.6 * -2 + 15.4j * -2) -53.19 + -33.9j = 97.54 + (129.2 + -30.8j) Combine like terms: 97.54 + 129.2 = 226.74 -53.19 + -33.9j = 226.74 + -30.8j Solving -53.19 + -33.9j = 226.74 + -30.8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '30.8j' to each side of the equation. -53.19 + -33.9j + 30.8j = 226.74 + -30.8j + 30.8j Combine like terms: -33.9j + 30.8j = -3.1j -53.19 + -3.1j = 226.74 + -30.8j + 30.8j Combine like terms: -30.8j + 30.8j = 0.0 -53.19 + -3.1j = 226.74 + 0.0 -53.19 + -3.1j = 226.74 Add '53.19' to each side of the equation. -53.19 + 53.19 + -3.1j = 226.74 + 53.19 Combine like terms: -53.19 + 53.19 = 0.00 0.00 + -3.1j = 226.74 + 53.19 -3.1j = 226.74 + 53.19 Combine like terms: 226.74 + 53.19 = 279.93 -3.1j = 279.93 Divide each side by '-3.1'. j = -90.3 Simplifying j = -90.3
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