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Simplifying 7d + -2d + 2 + -8 = 6d Reorder the terms: 2 + -8 + 7d + -2d = 6d Combine like terms: 2 + -8 = -6 -6 + 7d + -2d = 6d Combine like terms: 7d + -2d = 5d -6 + 5d = 6d Solving -6 + 5d = 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -6 + 5d + -6d = 6d + -6d Combine like terms: 5d + -6d = -1d -6 + -1d = 6d + -6d Combine like terms: 6d + -6d = 0 -6 + -1d = 0 Add '6' to each side of the equation. -6 + 6 + -1d = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1d = 0 + 6 -1d = 0 + 6 Combine like terms: 0 + 6 = 6 -1d = 6 Divide each side by '-1'. d = -6 Simplifying d = -6
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