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Simplifying 3(j + 9) = 45 Reorder the terms: 3(9 + j) = 45 (9 * 3 + j * 3) = 45 (27 + 3j) = 45 Solving 27 + 3j = 45 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 3j = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 3j = 45 + -27 3j = 45 + -27 Combine like terms: 45 + -27 = 18 3j = 18 Divide each side by '3'. j = 6 Simplifying j = 6
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