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Simplifying 4j + -15 = 18 + -3 + j Reorder the terms: -15 + 4j = 18 + -3 + j Combine like terms: 18 + -3 = 15 -15 + 4j = 15 + j Solving -15 + 4j = 15 + 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. -15 + 4j + -1j = 15 + j + -1j Combine like terms: 4j + -1j = 3j -15 + 3j = 15 + j + -1j Combine like terms: j + -1j = 0 -15 + 3j = 15 + 0 -15 + 3j = 15 Add '15' to each side of the equation. -15 + 15 + 3j = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 3j = 15 + 15 3j = 15 + 15 Combine like terms: 15 + 15 = 30 3j = 30 Divide each side by '3'. j = 10 Simplifying j = 10
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