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Simplifying -14 + -8(4j + 14) = 17 + 17 + -12j Reorder the terms: -14 + -8(14 + 4j) = 17 + 17 + -12j -14 + (14 * -8 + 4j * -8) = 17 + 17 + -12j -14 + (-112 + -32j) = 17 + 17 + -12j Combine like terms: -14 + -112 = -126 -126 + -32j = 17 + 17 + -12j Combine like terms: 17 + 17 = 34 -126 + -32j = 34 + -12j Solving -126 + -32j = 34 + -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. -126 + -32j + 12j = 34 + -12j + 12j Combine like terms: -32j + 12j = -20j -126 + -20j = 34 + -12j + 12j Combine like terms: -12j + 12j = 0 -126 + -20j = 34 + 0 -126 + -20j = 34 Add '126' to each side of the equation. -126 + 126 + -20j = 34 + 126 Combine like terms: -126 + 126 = 0 0 + -20j = 34 + 126 -20j = 34 + 126 Combine like terms: 34 + 126 = 160 -20j = 160 Divide each side by '-20'. j = -8 Simplifying j = -8
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