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Simplifying -4j + 9 = -10 + -5j + 9 Reorder the terms: 9 + -4j = -10 + -5j + 9 Reorder the terms: 9 + -4j = -10 + 9 + -5j Combine like terms: -10 + 9 = -1 9 + -4j = -1 + -5j Solving 9 + -4j = -1 + -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. 9 + -4j + 5j = -1 + -5j + 5j Combine like terms: -4j + 5j = 1j 9 + 1j = -1 + -5j + 5j Combine like terms: -5j + 5j = 0 9 + 1j = -1 + 0 9 + 1j = -1 Add '-9' to each side of the equation. 9 + -9 + 1j = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 1j = -1 + -9 1j = -1 + -9 Combine like terms: -1 + -9 = -10 1j = -10 Divide each side by '1'. j = -10 Simplifying j = -10
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