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Simplifying 3(5 + d) + 2(d + 2) = 0 (5 * 3 + d * 3) + 2(d + 2) = 0 (15 + 3d) + 2(d + 2) = 0 Reorder the terms: 15 + 3d + 2(2 + d) = 0 15 + 3d + (2 * 2 + d * 2) = 0 15 + 3d + (4 + 2d) = 0 Reorder the terms: 15 + 4 + 3d + 2d = 0 Combine like terms: 15 + 4 = 19 19 + 3d + 2d = 0 Combine like terms: 3d + 2d = 5d 19 + 5d = 0 Solving 19 + 5d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 5d = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 5d = 0 + -19 5d = 0 + -19 Combine like terms: 0 + -19 = -19 5d = -19 Divide each side by '5'. d = -3.8 Simplifying d = -3.8
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