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Simplifying 8d + -21 = 12d + -9 Reorder the terms: -21 + 8d = 12d + -9 Reorder the terms: -21 + 8d = -9 + 12d Solving -21 + 8d = -9 + 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. -21 + 8d + -12d = -9 + 12d + -12d Combine like terms: 8d + -12d = -4d -21 + -4d = -9 + 12d + -12d Combine like terms: 12d + -12d = 0 -21 + -4d = -9 + 0 -21 + -4d = -9 Add '21' to each side of the equation. -21 + 21 + -4d = -9 + 21 Combine like terms: -21 + 21 = 0 0 + -4d = -9 + 21 -4d = -9 + 21 Combine like terms: -9 + 21 = 12 -4d = 12 Divide each side by '-4'. d = -3 Simplifying d = -3
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