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Simplifying 20(7 + -1d) + 11d = 113 (7 * 20 + -1d * 20) + 11d = 113 (140 + -20d) + 11d = 113 Combine like terms: -20d + 11d = -9d 140 + -9d = 113 Solving 140 + -9d = 113 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + -9d = 113 + -140 Combine like terms: 140 + -140 = 0 0 + -9d = 113 + -140 -9d = 113 + -140 Combine like terms: 113 + -140 = -27 -9d = -27 Divide each side by '-9'. d = 3 Simplifying d = 3
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