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Simplifying 5d + -8 = 9d + 12 Reorder the terms: -8 + 5d = 9d + 12 Reorder the terms: -8 + 5d = 12 + 9d Solving -8 + 5d = 12 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -8 + 5d + -9d = 12 + 9d + -9d Combine like terms: 5d + -9d = -4d -8 + -4d = 12 + 9d + -9d Combine like terms: 9d + -9d = 0 -8 + -4d = 12 + 0 -8 + -4d = 12 Add '8' to each side of the equation. -8 + 8 + -4d = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -4d = 12 + 8 -4d = 12 + 8 Combine like terms: 12 + 8 = 20 -4d = 20 Divide each side by '-4'. d = -5 Simplifying d = -5
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