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Simplifying 0.375j + 8 = 0.625j Reorder the terms: 8 + 0.375j = 0.625j Solving 8 + 0.375j = 0.625j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-0.625j' to each side of the equation. 8 + 0.375j + -0.625j = 0.625j + -0.625j Combine like terms: 0.375j + -0.625j = -0.25j 8 + -0.25j = 0.625j + -0.625j Combine like terms: 0.625j + -0.625j = 0.000 8 + -0.25j = 0.000 Add '-8' to each side of the equation. 8 + -8 + -0.25j = 0.000 + -8 Combine like terms: 8 + -8 = 0 0 + -0.25j = 0.000 + -8 -0.25j = 0.000 + -8 Combine like terms: 0.000 + -8 = -8 -0.25j = -8 Divide each side by '-0.25'. j = 32 Simplifying j = 32
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