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Simplifying -2d + -6d + -1(2d + 1) = d Reorder the terms: -2d + -6d + -1(1 + 2d) = d -2d + -6d + (1 * -1 + 2d * -1) = d -2d + -6d + (-1 + -2d) = d Reorder the terms: -1 + -2d + -6d + -2d = d Combine like terms: -2d + -6d = -8d -1 + -8d + -2d = d Combine like terms: -8d + -2d = -10d -1 + -10d = d Solving -1 + -10d = 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. -1 + -10d + -1d = d + -1d Combine like terms: -10d + -1d = -11d -1 + -11d = d + -1d Combine like terms: d + -1d = 0 -1 + -11d = 0 Add '1' to each side of the equation. -1 + 1 + -11d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -11d = 0 + 1 -11d = 0 + 1 Combine like terms: 0 + 1 = 1 -11d = 1 Divide each side by '-11'. d = -0.09090909091 Simplifying d = -0.09090909091
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