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Simplifying 6d + -9 + -1d = 7 + -3d + 8 Reorder the terms: -9 + 6d + -1d = 7 + -3d + 8 Combine like terms: 6d + -1d = 5d -9 + 5d = 7 + -3d + 8 Reorder the terms: -9 + 5d = 7 + 8 + -3d Combine like terms: 7 + 8 = 15 -9 + 5d = 15 + -3d Solving -9 + 5d = 15 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -9 + 5d + 3d = 15 + -3d + 3d Combine like terms: 5d + 3d = 8d -9 + 8d = 15 + -3d + 3d Combine like terms: -3d + 3d = 0 -9 + 8d = 15 + 0 -9 + 8d = 15 Add '9' to each side of the equation. -9 + 9 + 8d = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 8d = 15 + 9 8d = 15 + 9 Combine like terms: 15 + 9 = 24 8d = 24 Divide each side by '8'. d = 3 Simplifying d = 3
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