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Simplifying 52 = 4(2j + 25) Reorder the terms: 52 = 4(25 + 2j) 52 = (25 * 4 + 2j * 4) 52 = (100 + 8j) Solving 52 = 100 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. 52 + -8j = 100 + 8j + -8j Combine like terms: 8j + -8j = 0 52 + -8j = 100 + 0 52 + -8j = 100 Add '-52' to each side of the equation. 52 + -52 + -8j = 100 + -52 Combine like terms: 52 + -52 = 0 0 + -8j = 100 + -52 -8j = 100 + -52 Combine like terms: 100 + -52 = 48 -8j = 48 Divide each side by '-8'. j = -6 Simplifying j = -6
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