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Simplifying 8d + 14 = 11d + -1 Reorder the terms: 14 + 8d = 11d + -1 Reorder the terms: 14 + 8d = -1 + 11d Solving 14 + 8d = -1 + 11d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-11d' to each side of the equation. 14 + 8d + -11d = -1 + 11d + -11d Combine like terms: 8d + -11d = -3d 14 + -3d = -1 + 11d + -11d Combine like terms: 11d + -11d = 0 14 + -3d = -1 + 0 14 + -3d = -1 Add '-14' to each side of the equation. 14 + -14 + -3d = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -3d = -1 + -14 -3d = -1 + -14 Combine like terms: -1 + -14 = -15 -3d = -15 Divide each side by '-3'. d = 5 Simplifying d = 5
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