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Simplifying 4j + 6 = 9j + -9 Reorder the terms: 6 + 4j = 9j + -9 Reorder the terms: 6 + 4j = -9 + 9j Solving 6 + 4j = -9 + 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. 6 + 4j + -9j = -9 + 9j + -9j Combine like terms: 4j + -9j = -5j 6 + -5j = -9 + 9j + -9j Combine like terms: 9j + -9j = 0 6 + -5j = -9 + 0 6 + -5j = -9 Add '-6' to each side of the equation. 6 + -6 + -5j = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -5j = -9 + -6 -5j = -9 + -6 Combine like terms: -9 + -6 = -15 -5j = -15 Divide each side by '-5'. j = 3 Simplifying j = 3
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