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Simplifying 8 + 2d = -10 + -7d Solving 8 + 2d = -10 + -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. 8 + 2d + 7d = -10 + -7d + 7d Combine like terms: 2d + 7d = 9d 8 + 9d = -10 + -7d + 7d Combine like terms: -7d + 7d = 0 8 + 9d = -10 + 0 8 + 9d = -10 Add '-8' to each side of the equation. 8 + -8 + 9d = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 9d = -10 + -8 9d = -10 + -8 Combine like terms: -10 + -8 = -18 9d = -18 Divide each side by '9'. d = -2 Simplifying d = -2
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