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Simplifying 2d + 6 = -21 + -7d Reorder the terms: 6 + 2d = -21 + -7d Solving 6 + 2d = -21 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. 6 + 2d + 7d = -21 + -7d + 7d Combine like terms: 2d + 7d = 9d 6 + 9d = -21 + -7d + 7d Combine like terms: -7d + 7d = 0 6 + 9d = -21 + 0 6 + 9d = -21 Add '-6' to each side of the equation. 6 + -6 + 9d = -21 + -6 Combine like terms: 6 + -6 = 0 0 + 9d = -21 + -6 9d = -21 + -6 Combine like terms: -21 + -6 = -27 9d = -27 Divide each side by '9'. d = -3 Simplifying d = -3
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