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Simplifying -4(-7j + -17) + 12 = 20j Reorder the terms: -4(-17 + -7j) + 12 = 20j (-17 * -4 + -7j * -4) + 12 = 20j (68 + 28j) + 12 = 20j Reorder the terms: 68 + 12 + 28j = 20j Combine like terms: 68 + 12 = 80 80 + 28j = 20j Solving 80 + 28j = 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. 80 + 28j + -20j = 20j + -20j Combine like terms: 28j + -20j = 8j 80 + 8j = 20j + -20j Combine like terms: 20j + -20j = 0 80 + 8j = 0 Add '-80' to each side of the equation. 80 + -80 + 8j = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 8j = 0 + -80 8j = 0 + -80 Combine like terms: 0 + -80 = -80 8j = -80 Divide each side by '8'. j = -10 Simplifying j = -10
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