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Simplifying 8(d + 2) + -4(d + -1) = 5d Reorder the terms: 8(2 + d) + -4(d + -1) = 5d (2 * 8 + d * 8) + -4(d + -1) = 5d (16 + 8d) + -4(d + -1) = 5d Reorder the terms: 16 + 8d + -4(-1 + d) = 5d 16 + 8d + (-1 * -4 + d * -4) = 5d 16 + 8d + (4 + -4d) = 5d Reorder the terms: 16 + 4 + 8d + -4d = 5d Combine like terms: 16 + 4 = 20 20 + 8d + -4d = 5d Combine like terms: 8d + -4d = 4d 20 + 4d = 5d Solving 20 + 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. 20 + 4d + -5d = 5d + -5d Combine like terms: 4d + -5d = -1d 20 + -1d = 5d + -5d Combine like terms: 5d + -5d = 0 20 + -1d = 0 Add '-20' to each side of the equation. 20 + -20 + -1d = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1d = 0 + -20 -1d = 0 + -20 Combine like terms: 0 + -20 = -20 -1d = -20 Divide each side by '-1'. d = 20 Simplifying d = 20
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