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Simplifying 12(j + 3) + -3j = 117 Reorder the terms: 12(3 + j) + -3j = 117 (3 * 12 + j * 12) + -3j = 117 (36 + 12j) + -3j = 117 Combine like terms: 12j + -3j = 9j 36 + 9j = 117 Solving 36 + 9j = 117 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 9j = 117 + -36 Combine like terms: 36 + -36 = 0 0 + 9j = 117 + -36 9j = 117 + -36 Combine like terms: 117 + -36 = 81 9j = 81 Divide each side by '9'. j = 9 Simplifying j = 9
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