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Simplifying 5d + 9 = 8d + -12 Reorder the terms: 9 + 5d = 8d + -12 Reorder the terms: 9 + 5d = -12 + 8d Solving 9 + 5d = -12 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 9 + 5d + -8d = -12 + 8d + -8d Combine like terms: 5d + -8d = -3d 9 + -3d = -12 + 8d + -8d Combine like terms: 8d + -8d = 0 9 + -3d = -12 + 0 9 + -3d = -12 Add '-9' to each side of the equation. 9 + -9 + -3d = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -3d = -12 + -9 -3d = -12 + -9 Combine like terms: -12 + -9 = -21 -3d = -21 Divide each side by '-3'. d = 7 Simplifying d = 7
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