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Simplifying 14j + 16 + 16j = -8(3 + -2j) Reorder the terms: 16 + 14j + 16j = -8(3 + -2j) Combine like terms: 14j + 16j = 30j 16 + 30j = -8(3 + -2j) 16 + 30j = (3 * -8 + -2j * -8) 16 + 30j = (-24 + 16j) Solving 16 + 30j = -24 + 16j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-16j' to each side of the equation. 16 + 30j + -16j = -24 + 16j + -16j Combine like terms: 30j + -16j = 14j 16 + 14j = -24 + 16j + -16j Combine like terms: 16j + -16j = 0 16 + 14j = -24 + 0 16 + 14j = -24 Add '-16' to each side of the equation. 16 + -16 + 14j = -24 + -16 Combine like terms: 16 + -16 = 0 0 + 14j = -24 + -16 14j = -24 + -16 Combine like terms: -24 + -16 = -40 14j = -40 Divide each side by '14'. j = -2.857142857 Simplifying j = -2.857142857
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