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Simplifying -8j + 14 = 2(4j + -7) Reorder the terms: 14 + -8j = 2(4j + -7) Reorder the terms: 14 + -8j = 2(-7 + 4j) 14 + -8j = (-7 * 2 + 4j * 2) 14 + -8j = (-14 + 8j) Solving 14 + -8j = -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. 14 + -8j + -8j = -14 + 8j + -8j Combine like terms: -8j + -8j = -16j 14 + -16j = -14 + 8j + -8j Combine like terms: 8j + -8j = 0 14 + -16j = -14 + 0 14 + -16j = -14 Add '-14' to each side of the equation. 14 + -14 + -16j = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -16j = -14 + -14 -16j = -14 + -14 Combine like terms: -14 + -14 = -28 -16j = -28 Divide each side by '-16'. j = 1.75 Simplifying j = 1.75
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