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Simplifying -5d + 2 + 3d + -8 = 7d + 6 + -1d + 9 Reorder the terms: 2 + -8 + -5d + 3d = 7d + 6 + -1d + 9 Combine like terms: 2 + -8 = -6 -6 + -5d + 3d = 7d + 6 + -1d + 9 Combine like terms: -5d + 3d = -2d -6 + -2d = 7d + 6 + -1d + 9 Reorder the terms: -6 + -2d = 6 + 9 + 7d + -1d Combine like terms: 6 + 9 = 15 -6 + -2d = 15 + 7d + -1d Combine like terms: 7d + -1d = 6d -6 + -2d = 15 + 6d Solving -6 + -2d = 15 + 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 + -2d + -6d = 15 + 6d + -6d Combine like terms: -2d + -6d = -8d -6 + -8d = 15 + 6d + -6d Combine like terms: 6d + -6d = 0 -6 + -8d = 15 + 0 -6 + -8d = 15 Add '6' to each side of the equation. -6 + 6 + -8d = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -8d = 15 + 6 -8d = 15 + 6 Combine like terms: 15 + 6 = 21 -8d = 21 Divide each side by '-8'. d = -2.625 Simplifying d = -2.625
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