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Simplifying 2d + 6 = -27 + -9d Reorder the terms: 6 + 2d = -27 + -9d Solving 6 + 2d = -27 + -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. 6 + 2d + 9d = -27 + -9d + 9d Combine like terms: 2d + 9d = 11d 6 + 11d = -27 + -9d + 9d Combine like terms: -9d + 9d = 0 6 + 11d = -27 + 0 6 + 11d = -27 Add '-6' to each side of the equation. 6 + -6 + 11d = -27 + -6 Combine like terms: 6 + -6 = 0 0 + 11d = -27 + -6 11d = -27 + -6 Combine like terms: -27 + -6 = -33 11d = -33 Divide each side by '11'. d = -3 Simplifying d = -3
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