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Simplifying 9(5 + -1d) = 2d + 1 (5 * 9 + -1d * 9) = 2d + 1 (45 + -9d) = 2d + 1 Reorder the terms: 45 + -9d = 1 + 2d Solving 45 + -9d = 1 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 45 + -9d + -2d = 1 + 2d + -2d Combine like terms: -9d + -2d = -11d 45 + -11d = 1 + 2d + -2d Combine like terms: 2d + -2d = 0 45 + -11d = 1 + 0 45 + -11d = 1 Add '-45' to each side of the equation. 45 + -45 + -11d = 1 + -45 Combine like terms: 45 + -45 = 0 0 + -11d = 1 + -45 -11d = 1 + -45 Combine like terms: 1 + -45 = -44 -11d = -44 Divide each side by '-11'. d = 4 Simplifying d = 4
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