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Simplifying 3(4j + -3) * 8 = -1 + 12j Reorder the terms: 3(-3 + 4j) * 8 = -1 + 12j Reorder the terms for easier multiplication: 3 * 8(-3 + 4j) = -1 + 12j Multiply 3 * 8 24(-3 + 4j) = -1 + 12j (-3 * 24 + 4j * 24) = -1 + 12j (-72 + 96j) = -1 + 12j Solving -72 + 96j = -1 + 12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12j' to each side of the equation. -72 + 96j + -12j = -1 + 12j + -12j Combine like terms: 96j + -12j = 84j -72 + 84j = -1 + 12j + -12j Combine like terms: 12j + -12j = 0 -72 + 84j = -1 + 0 -72 + 84j = -1 Add '72' to each side of the equation. -72 + 72 + 84j = -1 + 72 Combine like terms: -72 + 72 = 0 0 + 84j = -1 + 72 84j = -1 + 72 Combine like terms: -1 + 72 = 71 84j = 71 Divide each side by '84'. j = 0.8452380952 Simplifying j = 0.8452380952
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