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Simplifying -6j + 10j + -20 = -1j + 20 Reorder the terms: -20 + -6j + 10j = -1j + 20 Combine like terms: -6j + 10j = 4j -20 + 4j = -1j + 20 Reorder the terms: -20 + 4j = 20 + -1j Solving -20 + 4j = 20 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. -20 + 4j + j = 20 + -1j + j Combine like terms: 4j + j = 5j -20 + 5j = 20 + -1j + j Combine like terms: -1j + j = 0 -20 + 5j = 20 + 0 -20 + 5j = 20 Add '20' to each side of the equation. -20 + 20 + 5j = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 5j = 20 + 20 5j = 20 + 20 Combine like terms: 20 + 20 = 40 5j = 40 Divide each side by '5'. j = 8 Simplifying j = 8
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