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Simplifying 64 + -4j = j + 9 Reorder the terms: 64 + -4j = 9 + j Solving 64 + -4j = 9 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 64 + -4j + -1j = 9 + j + -1j Combine like terms: -4j + -1j = -5j 64 + -5j = 9 + j + -1j Combine like terms: j + -1j = 0 64 + -5j = 9 + 0 64 + -5j = 9 Add '-64' to each side of the equation. 64 + -64 + -5j = 9 + -64 Combine like terms: 64 + -64 = 0 0 + -5j = 9 + -64 -5j = 9 + -64 Combine like terms: 9 + -64 = -55 -5j = -55 Divide each side by '-5'. j = 11 Simplifying j = 11
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