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Simplifying 5 + -12 = 5j + -7 + -4j Combine like terms: 5 + -12 = -7 -7 = 5j + -7 + -4j Reorder the terms: -7 = -7 + 5j + -4j Combine like terms: 5j + -4j = 1j -7 = -7 + 1j Add '7' to each side of the equation. -7 + 7 = -7 + 7 + 1j Combine like terms: -7 + 7 = 0 0 = -7 + 7 + 1j Combine like terms: -7 + 7 = 0 0 = 0 + 1j 0 = 1j Solving 0 = 1j 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. 0 + -1j = 1j + -1j Remove the zero: -1j = 1j + -1j Combine like terms: 1j + -1j = 0 -1j = 0 Divide each side by '-1'. j = 0 Simplifying j = 0
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