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Simplifying 19j + -8 = 3 + 20j + 9 Reorder the terms: -8 + 19j = 3 + 20j + 9 Reorder the terms: -8 + 19j = 3 + 9 + 20j Combine like terms: 3 + 9 = 12 -8 + 19j = 12 + 20j Solving -8 + 19j = 12 + 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. -8 + 19j + -20j = 12 + 20j + -20j Combine like terms: 19j + -20j = -1j -8 + -1j = 12 + 20j + -20j Combine like terms: 20j + -20j = 0 -8 + -1j = 12 + 0 -8 + -1j = 12 Add '8' to each side of the equation. -8 + 8 + -1j = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -1j = 12 + 8 -1j = 12 + 8 Combine like terms: 12 + 8 = 20 -1j = 20 Divide each side by '-1'. j = -20 Simplifying j = -20
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