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Simplifying d + 6d + -7 = 8d + 2 Reorder the terms: -7 + d + 6d = 8d + 2 Combine like terms: d + 6d = 7d -7 + 7d = 8d + 2 Reorder the terms: -7 + 7d = 2 + 8d Solving -7 + 7d = 2 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -7 + 7d + -8d = 2 + 8d + -8d Combine like terms: 7d + -8d = -1d -7 + -1d = 2 + 8d + -8d Combine like terms: 8d + -8d = 0 -7 + -1d = 2 + 0 -7 + -1d = 2 Add '7' to each side of the equation. -7 + 7 + -1d = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -1d = 2 + 7 -1d = 2 + 7 Combine like terms: 2 + 7 = 9 -1d = 9 Divide each side by '-1'. d = -9 Simplifying d = -9
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