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Simplifying 21 = 8d + -9(2d + 1) Reorder the terms: 21 = 8d + -9(1 + 2d) 21 = 8d + (1 * -9 + 2d * -9) 21 = 8d + (-9 + -18d) Reorder the terms: 21 = -9 + 8d + -18d Combine like terms: 8d + -18d = -10d 21 = -9 + -10d Solving 21 = -9 + -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. 21 + 10d = -9 + -10d + 10d Combine like terms: -10d + 10d = 0 21 + 10d = -9 + 0 21 + 10d = -9 Add '-21' to each side of the equation. 21 + -21 + 10d = -9 + -21 Combine like terms: 21 + -21 = 0 0 + 10d = -9 + -21 10d = -9 + -21 Combine like terms: -9 + -21 = -30 10d = -30 Divide each side by '10'. d = -3 Simplifying d = -3
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