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Simplifying 5j + -12 + 15 + 3 + -1j = 10 Reorder the terms: -12 + 15 + 3 + 5j + -1j = 10 Combine like terms: -12 + 15 = 3 3 + 3 + 5j + -1j = 10 Combine like terms: 3 + 3 = 6 6 + 5j + -1j = 10 Combine like terms: 5j + -1j = 4j 6 + 4j = 10 Solving 6 + 4j = 10 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4j = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 4j = 10 + -6 4j = 10 + -6 Combine like terms: 10 + -6 = 4 4j = 4 Divide each side by '4'. j = 1 Simplifying j = 1
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