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Simplifying -15j + -40 = 23 + -8j Reorder the terms: -40 + -15j = 23 + -8j Solving -40 + -15j = 23 + -8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '8j' to each side of the equation. -40 + -15j + 8j = 23 + -8j + 8j Combine like terms: -15j + 8j = -7j -40 + -7j = 23 + -8j + 8j Combine like terms: -8j + 8j = 0 -40 + -7j = 23 + 0 -40 + -7j = 23 Add '40' to each side of the equation. -40 + 40 + -7j = 23 + 40 Combine like terms: -40 + 40 = 0 0 + -7j = 23 + 40 -7j = 23 + 40 Combine like terms: 23 + 40 = 63 -7j = 63 Divide each side by '-7'. j = -9 Simplifying j = -9
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