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Simplifying 8d + 10 = 5d + 2 + 5d Reorder the terms: 10 + 8d = 5d + 2 + 5d Reorder the terms: 10 + 8d = 2 + 5d + 5d Combine like terms: 5d + 5d = 10d 10 + 8d = 2 + 10d Solving 10 + 8d = 2 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 10 + 8d + -10d = 2 + 10d + -10d Combine like terms: 8d + -10d = -2d 10 + -2d = 2 + 10d + -10d Combine like terms: 10d + -10d = 0 10 + -2d = 2 + 0 10 + -2d = 2 Add '-10' to each side of the equation. 10 + -10 + -2d = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2d = 2 + -10 -2d = 2 + -10 Combine like terms: 2 + -10 = -8 -2d = -8 Divide each side by '-2'. d = 4 Simplifying d = 4
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