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Simplifying 10d + 69 = 21d + -85 Reorder the terms: 69 + 10d = 21d + -85 Reorder the terms: 69 + 10d = -85 + 21d Solving 69 + 10d = -85 + 21d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-21d' to each side of the equation. 69 + 10d + -21d = -85 + 21d + -21d Combine like terms: 10d + -21d = -11d 69 + -11d = -85 + 21d + -21d Combine like terms: 21d + -21d = 0 69 + -11d = -85 + 0 69 + -11d = -85 Add '-69' to each side of the equation. 69 + -69 + -11d = -85 + -69 Combine like terms: 69 + -69 = 0 0 + -11d = -85 + -69 -11d = -85 + -69 Combine like terms: -85 + -69 = -154 -11d = -154 Divide each side by '-11'. d = 14 Simplifying d = 14
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