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Simplifying 15 + 14j + -7j = 8(4j + -20) Combine like terms: 14j + -7j = 7j 15 + 7j = 8(4j + -20) Reorder the terms: 15 + 7j = 8(-20 + 4j) 15 + 7j = (-20 * 8 + 4j * 8) 15 + 7j = (-160 + 32j) Solving 15 + 7j = -160 + 32j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-32j' to each side of the equation. 15 + 7j + -32j = -160 + 32j + -32j Combine like terms: 7j + -32j = -25j 15 + -25j = -160 + 32j + -32j Combine like terms: 32j + -32j = 0 15 + -25j = -160 + 0 15 + -25j = -160 Add '-15' to each side of the equation. 15 + -15 + -25j = -160 + -15 Combine like terms: 15 + -15 = 0 0 + -25j = -160 + -15 -25j = -160 + -15 Combine like terms: -160 + -15 = -175 -25j = -175 Divide each side by '-25'. j = 7 Simplifying j = 7
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