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Simplifying 100 + -2j = j + -44 Reorder the terms: 100 + -2j = -44 + j Solving 100 + -2j = -44 + 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. 100 + -2j + -1j = -44 + j + -1j Combine like terms: -2j + -1j = -3j 100 + -3j = -44 + j + -1j Combine like terms: j + -1j = 0 100 + -3j = -44 + 0 100 + -3j = -44 Add '-100' to each side of the equation. 100 + -100 + -3j = -44 + -100 Combine like terms: 100 + -100 = 0 0 + -3j = -44 + -100 -3j = -44 + -100 Combine like terms: -44 + -100 = -144 -3j = -144 Divide each side by '-3'. j = 48 Simplifying j = 48
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