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Simplifying 4(4j + -3) + 8 = -1 + 12j Reorder the terms: 4(-3 + 4j) + 8 = -1 + 12j (-3 * 4 + 4j * 4) + 8 = -1 + 12j (-12 + 16j) + 8 = -1 + 12j Reorder the terms: -12 + 8 + 16j = -1 + 12j Combine like terms: -12 + 8 = -4 -4 + 16j = -1 + 12j Solving -4 + 16j = -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. -4 + 16j + -12j = -1 + 12j + -12j Combine like terms: 16j + -12j = 4j -4 + 4j = -1 + 12j + -12j Combine like terms: 12j + -12j = 0 -4 + 4j = -1 + 0 -4 + 4j = -1 Add '4' to each side of the equation. -4 + 4 + 4j = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 4j = -1 + 4 4j = -1 + 4 Combine like terms: -1 + 4 = 3 4j = 3 Divide each side by '4'. j = 0.75 Simplifying j = 0.75
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