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Simplifying -20 + -7j = -20 + -18 + -8j Combine like terms: -20 + -18 = -38 -20 + -7j = -38 + -8j Solving -20 + -7j = -38 + -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. -20 + -7j + 8j = -38 + -8j + 8j Combine like terms: -7j + 8j = 1j -20 + 1j = -38 + -8j + 8j Combine like terms: -8j + 8j = 0 -20 + 1j = -38 + 0 -20 + 1j = -38 Add '20' to each side of the equation. -20 + 20 + 1j = -38 + 20 Combine like terms: -20 + 20 = 0 0 + 1j = -38 + 20 1j = -38 + 20 Combine like terms: -38 + 20 = -18 1j = -18 Divide each side by '1'. j = -18 Simplifying j = -18
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