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Simplifying 40 + 14j = 2(-4j + -13) * 14 Reorder the terms: 40 + 14j = 2(-13 + -4j) * 14 Reorder the terms for easier multiplication: 40 + 14j = 2 * 14(-13 + -4j) Multiply 2 * 14 40 + 14j = 28(-13 + -4j) 40 + 14j = (-13 * 28 + -4j * 28) 40 + 14j = (-364 + -112j) Solving 40 + 14j = -364 + -112j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '112j' to each side of the equation. 40 + 14j + 112j = -364 + -112j + 112j Combine like terms: 14j + 112j = 126j 40 + 126j = -364 + -112j + 112j Combine like terms: -112j + 112j = 0 40 + 126j = -364 + 0 40 + 126j = -364 Add '-40' to each side of the equation. 40 + -40 + 126j = -364 + -40 Combine like terms: 40 + -40 = 0 0 + 126j = -364 + -40 126j = -364 + -40 Combine like terms: -364 + -40 = -404 126j = -404 Divide each side by '126'. j = -3.206349206 Simplifying j = -3.206349206
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