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Simplifying 3 + (4j + -3) + 8 = -1 + 12j Reorder the terms: 3 + (-3 + 4j) + 8 = -1 + 12j Remove parenthesis around (-3 + 4j) 3 + -3 + 4j + 8 = -1 + 12j Reorder the terms: 3 + -3 + 8 + 4j = -1 + 12j Combine like terms: 3 + -3 = 0 0 + 8 + 4j = -1 + 12j 8 + 4j = -1 + 12j Solving 8 + 4j = -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. 8 + 4j + -12j = -1 + 12j + -12j Combine like terms: 4j + -12j = -8j 8 + -8j = -1 + 12j + -12j Combine like terms: 12j + -12j = 0 8 + -8j = -1 + 0 8 + -8j = -1 Add '-8' to each side of the equation. 8 + -8 + -8j = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -8j = -1 + -8 -8j = -1 + -8 Combine like terms: -1 + -8 = -9 -8j = -9 Divide each side by '-8'. j = 1.125 Simplifying j = 1.125
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