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Simplifying -3 + 8j + -21 = 7j + 7 Reorder the terms: -3 + -21 + 8j = 7j + 7 Combine like terms: -3 + -21 = -24 -24 + 8j = 7j + 7 Reorder the terms: -24 + 8j = 7 + 7j Solving -24 + 8j = 7 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. -24 + 8j + -7j = 7 + 7j + -7j Combine like terms: 8j + -7j = 1j -24 + 1j = 7 + 7j + -7j Combine like terms: 7j + -7j = 0 -24 + 1j = 7 + 0 -24 + 1j = 7 Add '24' to each side of the equation. -24 + 24 + 1j = 7 + 24 Combine like terms: -24 + 24 = 0 0 + 1j = 7 + 24 1j = 7 + 24 Combine like terms: 7 + 24 = 31 1j = 31 Divide each side by '1'. j = 31 Simplifying j = 31
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