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Simplifying 2(j + 11) = -5(10 + 2j) Reorder the terms: 2(11 + j) = -5(10 + 2j) (11 * 2 + j * 2) = -5(10 + 2j) (22 + 2j) = -5(10 + 2j) 22 + 2j = (10 * -5 + 2j * -5) 22 + 2j = (-50 + -10j) Solving 22 + 2j = -50 + -10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '10j' to each side of the equation. 22 + 2j + 10j = -50 + -10j + 10j Combine like terms: 2j + 10j = 12j 22 + 12j = -50 + -10j + 10j Combine like terms: -10j + 10j = 0 22 + 12j = -50 + 0 22 + 12j = -50 Add '-22' to each side of the equation. 22 + -22 + 12j = -50 + -22 Combine like terms: 22 + -22 = 0 0 + 12j = -50 + -22 12j = -50 + -22 Combine like terms: -50 + -22 = -72 12j = -72 Divide each side by '12'. j = -6 Simplifying j = -6
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