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Simplifying 14j + 7 + -7j = -7 + 8j Reorder the terms: 7 + 14j + -7j = -7 + 8j Combine like terms: 14j + -7j = 7j 7 + 7j = -7 + 8j Solving 7 + 7j = -7 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. 7 + 7j + -8j = -7 + 8j + -8j Combine like terms: 7j + -8j = -1j 7 + -1j = -7 + 8j + -8j Combine like terms: 8j + -8j = 0 7 + -1j = -7 + 0 7 + -1j = -7 Add '-7' to each side of the equation. 7 + -7 + -1j = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -1j = -7 + -7 -1j = -7 + -7 Combine like terms: -7 + -7 = -14 -1j = -14 Divide each side by '-1'. j = 14 Simplifying j = 14
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