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Simplifying 8d + 9 = 10d + -12 Reorder the terms: 9 + 8d = 10d + -12 Reorder the terms: 9 + 8d = -12 + 10d Solving 9 + 8d = -12 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 9 + 8d + -10d = -12 + 10d + -10d Combine like terms: 8d + -10d = -2d 9 + -2d = -12 + 10d + -10d Combine like terms: 10d + -10d = 0 9 + -2d = -12 + 0 9 + -2d = -12 Add '-9' to each side of the equation. 9 + -9 + -2d = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -2d = -12 + -9 -2d = -12 + -9 Combine like terms: -12 + -9 = -21 -2d = -21 Divide each side by '-2'. d = 10.5 Simplifying d = 10.5
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