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Simplifying 10 + -5j = -4 + j + -10 Reorder the terms: 10 + -5j = -4 + -10 + j Combine like terms: -4 + -10 = -14 10 + -5j = -14 + j Solving 10 + -5j = -14 + 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 + -5j + -1j = -14 + j + -1j Combine like terms: -5j + -1j = -6j 10 + -6j = -14 + j + -1j Combine like terms: j + -1j = 0 10 + -6j = -14 + 0 10 + -6j = -14 Add '-10' to each side of the equation. 10 + -10 + -6j = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -6j = -14 + -10 -6j = -14 + -10 Combine like terms: -14 + -10 = -24 -6j = -24 Divide each side by '-6'. j = 4 Simplifying j = 4
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