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Simplifying 20 + 10d + -20 = -16 + 12d Reorder the terms: 20 + -20 + 10d = -16 + 12d Combine like terms: 20 + -20 = 0 0 + 10d = -16 + 12d 10d = -16 + 12d Solving 10d = -16 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 10d + -12d = -16 + 12d + -12d Combine like terms: 10d + -12d = -2d -2d = -16 + 12d + -12d Combine like terms: 12d + -12d = 0 -2d = -16 + 0 -2d = -16 Divide each side by '-2'. d = 8 Simplifying d = 8
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