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Simplifying 4(1d + 2) = 5d Reorder the terms: 4(2 + 1d) = 5d (2 * 4 + 1d * 4) = 5d (8 + 4d) = 5d Solving 8 + 4d = 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 8 + 4d + -5d = 5d + -5d Combine like terms: 4d + -5d = -1d 8 + -1d = 5d + -5d Combine like terms: 5d + -5d = 0 8 + -1d = 0 Add '-8' to each side of the equation. 8 + -8 + -1d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1d = 0 + -8 -1d = 0 + -8 Combine like terms: 0 + -8 = -8 -1d = -8 Divide each side by '-1'. d = 8 Simplifying d = 8
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