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Simplifying 21.5 = 2(4d + 6) Reorder the terms: 21.5 = 2(6 + 4d) 21.5 = (6 * 2 + 4d * 2) 21.5 = (12 + 8d) Solving 21.5 = 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. 21.5 + -8d = 12 + 8d + -8d Combine like terms: 8d + -8d = 0 21.5 + -8d = 12 + 0 21.5 + -8d = 12 Add '-21.5' to each side of the equation. 21.5 + -21.5 + -8d = 12 + -21.5 Combine like terms: 21.5 + -21.5 = 0.0 0.0 + -8d = 12 + -21.5 -8d = 12 + -21.5 Combine like terms: 12 + -21.5 = -9.5 -8d = -9.5 Divide each side by '-8'. d = 1.1875 Simplifying d = 1.1875
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