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Simplifying 10 + -1j = j + -40 Reorder the terms: 10 + -1j = -40 + j Solving 10 + -1j = -40 + 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. 10 + -1j + -1j = -40 + j + -1j Combine like terms: -1j + -1j = -2j 10 + -2j = -40 + j + -1j Combine like terms: j + -1j = 0 10 + -2j = -40 + 0 10 + -2j = -40 Add '-10' to each side of the equation. 10 + -10 + -2j = -40 + -10 Combine like terms: 10 + -10 = 0 0 + -2j = -40 + -10 -2j = -40 + -10 Combine like terms: -40 + -10 = -50 -2j = -50 Divide each side by '-2'. j = 25 Simplifying j = 25
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