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Simplifying 2 + 5d = 2d + 4d + 10 Reorder the terms: 2 + 5d = 10 + 2d + 4d Combine like terms: 2d + 4d = 6d 2 + 5d = 10 + 6d Solving 2 + 5d = 10 + 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. 2 + 5d + -6d = 10 + 6d + -6d Combine like terms: 5d + -6d = -1d 2 + -1d = 10 + 6d + -6d Combine like terms: 6d + -6d = 0 2 + -1d = 10 + 0 2 + -1d = 10 Add '-2' to each side of the equation. 2 + -2 + -1d = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -1d = 10 + -2 -1d = 10 + -2 Combine like terms: 10 + -2 = 8 -1d = 8 Divide each side by '-1'. d = -8 Simplifying d = -8
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