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Simplifying 15(j + 3) = 75 Reorder the terms: 15(3 + j) = 75 (3 * 15 + j * 15) = 75 (45 + 15j) = 75 Solving 45 + 15j = 75 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 15j = 75 + -45 Combine like terms: 45 + -45 = 0 0 + 15j = 75 + -45 15j = 75 + -45 Combine like terms: 75 + -45 = 30 15j = 30 Divide each side by '15'. j = 2 Simplifying j = 2
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