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Simplifying 8j + -24 = -4j + 9j + -14 Reorder the terms: -24 + 8j = -4j + 9j + -14 Reorder the terms: -24 + 8j = -14 + -4j + 9j Combine like terms: -4j + 9j = 5j -24 + 8j = -14 + 5j Solving -24 + 8j = -14 + 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. -24 + 8j + -5j = -14 + 5j + -5j Combine like terms: 8j + -5j = 3j -24 + 3j = -14 + 5j + -5j Combine like terms: 5j + -5j = 0 -24 + 3j = -14 + 0 -24 + 3j = -14 Add '24' to each side of the equation. -24 + 24 + 3j = -14 + 24 Combine like terms: -24 + 24 = 0 0 + 3j = -14 + 24 3j = -14 + 24 Combine like terms: -14 + 24 = 10 3j = 10 Divide each side by '3'. j = 3.333333333 Simplifying j = 3.333333333
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