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Simplifying -2 + -7j + -12j = -20j + 18 Combine like terms: -7j + -12j = -19j -2 + -19j = -20j + 18 Reorder the terms: -2 + -19j = 18 + -20j Solving -2 + -19j = 18 + -20j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '20j' to each side of the equation. -2 + -19j + 20j = 18 + -20j + 20j Combine like terms: -19j + 20j = 1j -2 + 1j = 18 + -20j + 20j Combine like terms: -20j + 20j = 0 -2 + 1j = 18 + 0 -2 + 1j = 18 Add '2' to each side of the equation. -2 + 2 + 1j = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 1j = 18 + 2 1j = 18 + 2 Combine like terms: 18 + 2 = 20 1j = 20 Divide each side by '1'. j = 20 Simplifying j = 20
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