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Simplifying 2.25 + -11j + -7.75 + 1.5j = 0.5j + -1 Reorder the terms: 2.25 + -7.75 + -11j + 1.5j = 0.5j + -1 Combine like terms: 2.25 + -7.75 = -5.5 -5.5 + -11j + 1.5j = 0.5j + -1 Combine like terms: -11j + 1.5j = -9.5j -5.5 + -9.5j = 0.5j + -1 Reorder the terms: -5.5 + -9.5j = -1 + 0.5j Solving -5.5 + -9.5j = -1 + 0.5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-0.5j' to each side of the equation. -5.5 + -9.5j + -0.5j = -1 + 0.5j + -0.5j Combine like terms: -9.5j + -0.5j = -10j -5.5 + -10j = -1 + 0.5j + -0.5j Combine like terms: 0.5j + -0.5j = 0.0 -5.5 + -10j = -1 + 0.0 -5.5 + -10j = -1 Add '5.5' to each side of the equation. -5.5 + 5.5 + -10j = -1 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + -10j = -1 + 5.5 -10j = -1 + 5.5 Combine like terms: -1 + 5.5 = 4.5 -10j = 4.5 Divide each side by '-10'. j = -0.45 Simplifying j = -0.45
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