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Simplifying 40 + 14j = 29(-4j + -13) Reorder the terms: 40 + 14j = 29(-13 + -4j) 40 + 14j = (-13 * 29 + -4j * 29) 40 + 14j = (-377 + -116j) Solving 40 + 14j = -377 + -116j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '116j' to each side of the equation. 40 + 14j + 116j = -377 + -116j + 116j Combine like terms: 14j + 116j = 130j 40 + 130j = -377 + -116j + 116j Combine like terms: -116j + 116j = 0 40 + 130j = -377 + 0 40 + 130j = -377 Add '-40' to each side of the equation. 40 + -40 + 130j = -377 + -40 Combine like terms: 40 + -40 = 0 0 + 130j = -377 + -40 130j = -377 + -40 Combine like terms: -377 + -40 = -417 130j = -417 Divide each side by '130'. j = -3.207692308 Simplifying j = -3.207692308
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