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Simplifying -8j + 14 = -22(4j + -7) Reorder the terms: 14 + -8j = -22(4j + -7) Reorder the terms: 14 + -8j = -22(-7 + 4j) 14 + -8j = (-7 * -22 + 4j * -22) 14 + -8j = (154 + -88j) Solving 14 + -8j = 154 + -88j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '88j' to each side of the equation. 14 + -8j + 88j = 154 + -88j + 88j Combine like terms: -8j + 88j = 80j 14 + 80j = 154 + -88j + 88j Combine like terms: -88j + 88j = 0 14 + 80j = 154 + 0 14 + 80j = 154 Add '-14' to each side of the equation. 14 + -14 + 80j = 154 + -14 Combine like terms: 14 + -14 = 0 0 + 80j = 154 + -14 80j = 154 + -14 Combine like terms: 154 + -14 = 140 80j = 140 Divide each side by '80'. j = 1.75 Simplifying j = 1.75
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