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Simplifying 7(j + 3) + 15 = 78 Reorder the terms: 7(3 + j) + 15 = 78 (3 * 7 + j * 7) + 15 = 78 (21 + 7j) + 15 = 78 Reorder the terms: 21 + 15 + 7j = 78 Combine like terms: 21 + 15 = 36 36 + 7j = 78 Solving 36 + 7j = 78 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 + 7j = 78 + -36 Combine like terms: 36 + -36 = 0 0 + 7j = 78 + -36 7j = 78 + -36 Combine like terms: 78 + -36 = 42 7j = 42 Divide each side by '7'. j = 6 Simplifying j = 6
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