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Simplifying 10d + 7 + -2d + 12 = 0 Reorder the terms: 7 + 12 + 10d + -2d = 0 Combine like terms: 7 + 12 = 19 19 + 10d + -2d = 0 Combine like terms: 10d + -2d = 8d 19 + 8d = 0 Solving 19 + 8d = 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 + 8d = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 8d = 0 + -19 8d = 0 + -19 Combine like terms: 0 + -19 = -19 8d = -19 Divide each side by '8'. d = -2.375 Simplifying d = -2.375
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