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Simplifying 14j + 16 + 6j = -8(3 + -2j) Reorder the terms: 16 + 14j + 6j = -8(3 + -2j) Combine like terms: 14j + 6j = 20j 16 + 20j = -8(3 + -2j) 16 + 20j = (3 * -8 + -2j * -8) 16 + 20j = (-24 + 16j) Solving 16 + 20j = -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 + 20j + -16j = -24 + 16j + -16j Combine like terms: 20j + -16j = 4j 16 + 4j = -24 + 16j + -16j Combine like terms: 16j + -16j = 0 16 + 4j = -24 + 0 16 + 4j = -24 Add '-16' to each side of the equation. 16 + -16 + 4j = -24 + -16 Combine like terms: 16 + -16 = 0 0 + 4j = -24 + -16 4j = -24 + -16 Combine like terms: -24 + -16 = -40 4j = -40 Divide each side by '4'. j = -10 Simplifying j = -10
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