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Simplifying 3(d + 3) + 4(d + 1) = 15 Reorder the terms: 3(3 + d) + 4(d + 1) = 15 (3 * 3 + d * 3) + 4(d + 1) = 15 (9 + 3d) + 4(d + 1) = 15 Reorder the terms: 9 + 3d + 4(1 + d) = 15 9 + 3d + (1 * 4 + d * 4) = 15 9 + 3d + (4 + 4d) = 15 Reorder the terms: 9 + 4 + 3d + 4d = 15 Combine like terms: 9 + 4 = 13 13 + 3d + 4d = 15 Combine like terms: 3d + 4d = 7d 13 + 7d = 15 Solving 13 + 7d = 15 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 7d = 15 + -13 Combine like terms: 13 + -13 = 0 0 + 7d = 15 + -13 7d = 15 + -13 Combine like terms: 15 + -13 = 2 7d = 2 Divide each side by '7'. d = 0.2857142857 Simplifying d = 0.2857142857
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