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Simplifying 3d + 2 = 10 + -1d Reorder the terms: 2 + 3d = 10 + -1d Solving 2 + 3d = 10 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 2 + 3d + d = 10 + -1d + d Combine like terms: 3d + d = 4d 2 + 4d = 10 + -1d + d Combine like terms: -1d + d = 0 2 + 4d = 10 + 0 2 + 4d = 10 Add '-2' to each side of the equation. 2 + -2 + 4d = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4d = 10 + -2 4d = 10 + -2 Combine like terms: 10 + -2 = 8 4d = 8 Divide each side by '4'. d = 2 Simplifying d = 2
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