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Simplifying 7(-3j + -18) = 14 + -7j Reorder the terms: 7(-18 + -3j) = 14 + -7j (-18 * 7 + -3j * 7) = 14 + -7j (-126 + -21j) = 14 + -7j Solving -126 + -21j = 14 + -7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '7j' to each side of the equation. -126 + -21j + 7j = 14 + -7j + 7j Combine like terms: -21j + 7j = -14j -126 + -14j = 14 + -7j + 7j Combine like terms: -7j + 7j = 0 -126 + -14j = 14 + 0 -126 + -14j = 14 Add '126' to each side of the equation. -126 + 126 + -14j = 14 + 126 Combine like terms: -126 + 126 = 0 0 + -14j = 14 + 126 -14j = 14 + 126 Combine like terms: 14 + 126 = 140 -14j = 140 Divide each side by '-14'. j = -10 Simplifying j = -10
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