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Simplifying -11d + 9(-1d + 3) = d + -7 Reorder the terms: -11d + 9(3 + -1d) = d + -7 -11d + (3 * 9 + -1d * 9) = d + -7 -11d + (27 + -9d) = d + -7 Reorder the terms: 27 + -11d + -9d = d + -7 Combine like terms: -11d + -9d = -20d 27 + -20d = d + -7 Reorder the terms: 27 + -20d = -7 + d Solving 27 + -20d = -7 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 27 + -20d + -1d = -7 + d + -1d Combine like terms: -20d + -1d = -21d 27 + -21d = -7 + d + -1d Combine like terms: d + -1d = 0 27 + -21d = -7 + 0 27 + -21d = -7 Add '-27' to each side of the equation. 27 + -27 + -21d = -7 + -27 Combine like terms: 27 + -27 = 0 0 + -21d = -7 + -27 -21d = -7 + -27 Combine like terms: -7 + -27 = -34 -21d = -34 Divide each side by '-21'. d = 1.619047619 Simplifying d = 1.619047619
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