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Simplifying 40 + 14j = 2(-4j + -3) Reorder the terms: 40 + 14j = 2(-3 + -4j) 40 + 14j = (-3 * 2 + -4j * 2) 40 + 14j = (-6 + -8j) Solving 40 + 14j = -6 + -8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '8j' to each side of the equation. 40 + 14j + 8j = -6 + -8j + 8j Combine like terms: 14j + 8j = 22j 40 + 22j = -6 + -8j + 8j Combine like terms: -8j + 8j = 0 40 + 22j = -6 + 0 40 + 22j = -6 Add '-40' to each side of the equation. 40 + -40 + 22j = -6 + -40 Combine like terms: 40 + -40 = 0 0 + 22j = -6 + -40 22j = -6 + -40 Combine like terms: -6 + -40 = -46 22j = -46 Divide each side by '22'. j = -2.090909091 Simplifying j = -2.090909091
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