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Simplifying 0.75j + -4 = 0.25j + 22 Reorder the terms: -4 + 0.75j = 0.25j + 22 Reorder the terms: -4 + 0.75j = 22 + 0.25j Solving -4 + 0.75j = 22 + 0.25j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-0.25j' to each side of the equation. -4 + 0.75j + -0.25j = 22 + 0.25j + -0.25j Combine like terms: 0.75j + -0.25j = 0.5j -4 + 0.5j = 22 + 0.25j + -0.25j Combine like terms: 0.25j + -0.25j = 0.00 -4 + 0.5j = 22 + 0.00 -4 + 0.5j = 22 Add '4' to each side of the equation. -4 + 4 + 0.5j = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 0.5j = 22 + 4 0.5j = 22 + 4 Combine like terms: 22 + 4 = 26 0.5j = 26 Divide each side by '0.5'. j = 52 Simplifying j = 52
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