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Simplifying 3d + 4(d + 2) = 0 Reorder the terms: 3d + 4(2 + d) = 0 3d + (2 * 4 + d * 4) = 0 3d + (8 + 4d) = 0 Reorder the terms: 8 + 3d + 4d = 0 Combine like terms: 3d + 4d = 7d 8 + 7d = 0 Solving 8 + 7d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7d = 0 + -8 7d = 0 + -8 Combine like terms: 0 + -8 = -8 7d = -8 Divide each side by '7'. d = -1.142857143 Simplifying d = -1.142857143
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