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Simplifying 40 + 14j = 2(-4j + -19) Reorder the terms: 40 + 14j = 2(-19 + -4j) 40 + 14j = (-19 * 2 + -4j * 2) 40 + 14j = (-38 + -8j) Solving 40 + 14j = -38 + -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 = -38 + -8j + 8j Combine like terms: 14j + 8j = 22j 40 + 22j = -38 + -8j + 8j Combine like terms: -8j + 8j = 0 40 + 22j = -38 + 0 40 + 22j = -38 Add '-40' to each side of the equation. 40 + -40 + 22j = -38 + -40 Combine like terms: 40 + -40 = 0 0 + 22j = -38 + -40 22j = -38 + -40 Combine like terms: -38 + -40 = -78 22j = -78 Divide each side by '22'. j = -3.545454545 Simplifying j = -3.545454545
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