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Simplifying d + 6 = 10 + -3d Reorder the terms: 6 + d = 10 + -3d Solving 6 + d = 10 + -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. 6 + d + 3d = 10 + -3d + 3d Combine like terms: d + 3d = 4d 6 + 4d = 10 + -3d + 3d Combine like terms: -3d + 3d = 0 6 + 4d = 10 + 0 6 + 4d = 10 Add '-6' to each side of the equation. 6 + -6 + 4d = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 4d = 10 + -6 4d = 10 + -6 Combine like terms: 10 + -6 = 4 4d = 4 Divide each side by '4'. d = 1 Simplifying d = 1
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