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Simplifying 5(6 + j) = 45 (6 * 5 + j * 5) = 45 (30 + 5j) = 45 Solving 30 + 5j = 45 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5j = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 5j = 45 + -30 5j = 45 + -30 Combine like terms: 45 + -30 = 15 5j = 15 Divide each side by '5'. j = 3 Simplifying j = 3
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