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Simplifying -12j + 15 = -1j + -7 Reorder the terms: 15 + -12j = -1j + -7 Reorder the terms: 15 + -12j = -7 + -1j Solving 15 + -12j = -7 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. 15 + -12j + j = -7 + -1j + j Combine like terms: -12j + j = -11j 15 + -11j = -7 + -1j + j Combine like terms: -1j + j = 0 15 + -11j = -7 + 0 15 + -11j = -7 Add '-15' to each side of the equation. 15 + -15 + -11j = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -11j = -7 + -15 -11j = -7 + -15 Combine like terms: -7 + -15 = -22 -11j = -22 Divide each side by '-11'. j = 2 Simplifying j = 2
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