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Simplifying 10d + 9 = -7 + 2d Reorder the terms: 9 + 10d = -7 + 2d Solving 9 + 10d = -7 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 9 + 10d + -2d = -7 + 2d + -2d Combine like terms: 10d + -2d = 8d 9 + 8d = -7 + 2d + -2d Combine like terms: 2d + -2d = 0 9 + 8d = -7 + 0 9 + 8d = -7 Add '-9' to each side of the equation. 9 + -9 + 8d = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 8d = -7 + -9 8d = -7 + -9 Combine like terms: -7 + -9 = -16 8d = -16 Divide each side by '8'. d = -2 Simplifying d = -2
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