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Simplifying 12(j + 1) + 3j = 57 Reorder the terms: 12(1 + j) + 3j = 57 (1 * 12 + j * 12) + 3j = 57 (12 + 12j) + 3j = 57 Combine like terms: 12j + 3j = 15j 12 + 15j = 57 Solving 12 + 15j = 57 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 15j = 57 + -12 Combine like terms: 12 + -12 = 0 0 + 15j = 57 + -12 15j = 57 + -12 Combine like terms: 57 + -12 = 45 15j = 45 Divide each side by '15'. j = 3 Simplifying j = 3
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