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Simplifying 3(5j + 2) + -5 = 9(d + 2) + 1 Reorder the terms: 3(2 + 5j) + -5 = 9(d + 2) + 1 (2 * 3 + 5j * 3) + -5 = 9(d + 2) + 1 (6 + 15j) + -5 = 9(d + 2) + 1 Reorder the terms: 6 + -5 + 15j = 9(d + 2) + 1 Combine like terms: 6 + -5 = 1 1 + 15j = 9(d + 2) + 1 Reorder the terms: 1 + 15j = 9(2 + d) + 1 1 + 15j = (2 * 9 + d * 9) + 1 1 + 15j = (18 + 9d) + 1 Reorder the terms: 1 + 15j = 18 + 1 + 9d Combine like terms: 18 + 1 = 19 1 + 15j = 19 + 9d Solving 1 + 15j = 19 + 9d Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 15j = 19 + -1 + 9d Combine like terms: 1 + -1 = 0 0 + 15j = 19 + -1 + 9d 15j = 19 + -1 + 9d Combine like terms: 19 + -1 = 18 15j = 18 + 9d Divide each side by '15'. j = 1.2 + 0.6d Simplifying j = 1.2 + 0.6d
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