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Simplifying 4a2 + 21d = 10d + 35 Reorder the terms: 4a2 + 21d = 35 + 10d Solving 4a2 + 21d = 35 + 10d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21d' to each side of the equation. 4a2 + 21d + -21d = 35 + 10d + -21d Combine like terms: 21d + -21d = 0 4a2 + 0 = 35 + 10d + -21d 4a2 = 35 + 10d + -21d Combine like terms: 10d + -21d = -11d 4a2 = 35 + -11d Divide each side by '4'. a2 = 8.75 + -2.75d Simplifying a2 = 8.75 + -2.75d Reorder the terms: -8.75 + a2 + 2.75d = 8.75 + -2.75d + -8.75 + 2.75d Reorder the terms: -8.75 + a2 + 2.75d = 8.75 + -8.75 + -2.75d + 2.75d Combine like terms: 8.75 + -8.75 = 0.00 -8.75 + a2 + 2.75d = 0.00 + -2.75d + 2.75d -8.75 + a2 + 2.75d = -2.75d + 2.75d Combine like terms: -2.75d + 2.75d = 0.00 -8.75 + a2 + 2.75d = 0.00 The solution to this equation could not be determined.
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