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Simplifying 20 + -1(6 + -1d) = 9d + 22 20 + (6 * -1 + -1d * -1) = 9d + 22 20 + (-6 + 1d) = 9d + 22 Combine like terms: 20 + -6 = 14 14 + 1d = 9d + 22 Reorder the terms: 14 + 1d = 22 + 9d Solving 14 + 1d = 22 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 14 + 1d + -9d = 22 + 9d + -9d Combine like terms: 1d + -9d = -8d 14 + -8d = 22 + 9d + -9d Combine like terms: 9d + -9d = 0 14 + -8d = 22 + 0 14 + -8d = 22 Add '-14' to each side of the equation. 14 + -14 + -8d = 22 + -14 Combine like terms: 14 + -14 = 0 0 + -8d = 22 + -14 -8d = 22 + -14 Combine like terms: 22 + -14 = 8 -8d = 8 Divide each side by '-8'. d = -1 Simplifying d = -1
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