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Simplifying -8 + 14 = -2(4j + -7) Combine like terms: -8 + 14 = 6 6 = -2(4j + -7) Reorder the terms: 6 = -2(-7 + 4j) 6 = (-7 * -2 + 4j * -2) 6 = (14 + -8j) Solving 6 = 14 + -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. 6 + 8j = 14 + -8j + 8j Combine like terms: -8j + 8j = 0 6 + 8j = 14 + 0 6 + 8j = 14 Add '-6' to each side of the equation. 6 + -6 + 8j = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 8j = 14 + -6 8j = 14 + -6 Combine like terms: 14 + -6 = 8 8j = 8 Divide each side by '8'. j = 1 Simplifying j = 1
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