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Simplifying -4j + 19 + 12j = -20 + -5(-3j + 16) Reorder the terms: 19 + -4j + 12j = -20 + -5(-3j + 16) Combine like terms: -4j + 12j = 8j 19 + 8j = -20 + -5(-3j + 16) Reorder the terms: 19 + 8j = -20 + -5(16 + -3j) 19 + 8j = -20 + (16 * -5 + -3j * -5) 19 + 8j = -20 + (-80 + 15j) Combine like terms: -20 + -80 = -100 19 + 8j = -100 + 15j Solving 19 + 8j = -100 + 15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15j' to each side of the equation. 19 + 8j + -15j = -100 + 15j + -15j Combine like terms: 8j + -15j = -7j 19 + -7j = -100 + 15j + -15j Combine like terms: 15j + -15j = 0 19 + -7j = -100 + 0 19 + -7j = -100 Add '-19' to each side of the equation. 19 + -19 + -7j = -100 + -19 Combine like terms: 19 + -19 = 0 0 + -7j = -100 + -19 -7j = -100 + -19 Combine like terms: -100 + -19 = -119 -7j = -119 Divide each side by '-7'. j = 17 Simplifying j = 17
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