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