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Simplifying 12j + 7 + -1j = (4 + 6) * 2 + j + 11.4 Reorder the terms: 7 + 12j + -1j = (4 + 6) * 2 + j + 11.4 Combine like terms: 12j + -1j = 11j 7 + 11j = (4 + 6) * 2 + j + 11.4 Combine like terms: 4 + 6 = 10 7 + 11j = (10) * 2 + j + 11.4 Multiply 10 * 2 7 + 11j = 20 + j + 11.4 Reorder the terms: 7 + 11j = 20 + 11.4 + j Combine like terms: 20 + 11.4 = 31.4 7 + 11j = 31.4 + j Solving 7 + 11j = 31.4 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 7 + 11j + -1j = 31.4 + j + -1j Combine like terms: 11j + -1j = 10j 7 + 10j = 31.4 + j + -1j Combine like terms: j + -1j = 0 7 + 10j = 31.4 + 0 7 + 10j = 31.4 Add '-7' to each side of the equation. 7 + -7 + 10j = 31.4 + -7 Combine like terms: 7 + -7 = 0 0 + 10j = 31.4 + -7 10j = 31.4 + -7 Combine like terms: 31.4 + -7 = 24.4 10j = 24.4 Divide each side by '10'. j = 2.44 Simplifying j = 2.44
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