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Simplifying -6j + -20 = 2j + 6j + 5 + -1j Reorder the terms: -20 + -6j = 2j + 6j + 5 + -1j Reorder the terms: -20 + -6j = 5 + 2j + 6j + -1j Combine like terms: 2j + 6j = 8j -20 + -6j = 5 + 8j + -1j Combine like terms: 8j + -1j = 7j -20 + -6j = 5 + 7j Solving -20 + -6j = 5 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. -20 + -6j + -7j = 5 + 7j + -7j Combine like terms: -6j + -7j = -13j -20 + -13j = 5 + 7j + -7j Combine like terms: 7j + -7j = 0 -20 + -13j = 5 + 0 -20 + -13j = 5 Add '20' to each side of the equation. -20 + 20 + -13j = 5 + 20 Combine like terms: -20 + 20 = 0 0 + -13j = 5 + 20 -13j = 5 + 20 Combine like terms: 5 + 20 = 25 -13j = 25 Divide each side by '-13'. j = -1.923076923 Simplifying j = -1.923076923
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