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Simplifying 17.5j + -13.08 = 2j + -5.33 Reorder the terms: -13.08 + 17.5j = 2j + -5.33 Reorder the terms: -13.08 + 17.5j = -5.33 + 2j Solving -13.08 + 17.5j = -5.33 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. -13.08 + 17.5j + -2j = -5.33 + 2j + -2j Combine like terms: 17.5j + -2j = 15.5j -13.08 + 15.5j = -5.33 + 2j + -2j Combine like terms: 2j + -2j = 0 -13.08 + 15.5j = -5.33 + 0 -13.08 + 15.5j = -5.33 Add '13.08' to each side of the equation. -13.08 + 13.08 + 15.5j = -5.33 + 13.08 Combine like terms: -13.08 + 13.08 = 0.00 0.00 + 15.5j = -5.33 + 13.08 15.5j = -5.33 + 13.08 Combine like terms: -5.33 + 13.08 = 7.75 15.5j = 7.75 Divide each side by '15.5'. j = 0.5 Simplifying j = 0.5
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