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Simplifying 8(2d + 5) + -3(8d + -9) = -21 Reorder the terms: 8(5 + 2d) + -3(8d + -9) = -21 (5 * 8 + 2d * 8) + -3(8d + -9) = -21 (40 + 16d) + -3(8d + -9) = -21 Reorder the terms: 40 + 16d + -3(-9 + 8d) = -21 40 + 16d + (-9 * -3 + 8d * -3) = -21 40 + 16d + (27 + -24d) = -21 Reorder the terms: 40 + 27 + 16d + -24d = -21 Combine like terms: 40 + 27 = 67 67 + 16d + -24d = -21 Combine like terms: 16d + -24d = -8d 67 + -8d = -21 Solving 67 + -8d = -21 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + -8d = -21 + -67 Combine like terms: 67 + -67 = 0 0 + -8d = -21 + -67 -8d = -21 + -67 Combine like terms: -21 + -67 = -88 -8d = -88 Divide each side by '-8'. d = 11 Simplifying d = 11
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