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Simplifying 5(d + 4) + -1(d + 2) = 8d + 2 Reorder the terms: 5(4 + d) + -1(d + 2) = 8d + 2 (4 * 5 + d * 5) + -1(d + 2) = 8d + 2 (20 + 5d) + -1(d + 2) = 8d + 2 Reorder the terms: 20 + 5d + -1(2 + d) = 8d + 2 20 + 5d + (2 * -1 + d * -1) = 8d + 2 20 + 5d + (-2 + -1d) = 8d + 2 Reorder the terms: 20 + -2 + 5d + -1d = 8d + 2 Combine like terms: 20 + -2 = 18 18 + 5d + -1d = 8d + 2 Combine like terms: 5d + -1d = 4d 18 + 4d = 8d + 2 Reorder the terms: 18 + 4d = 2 + 8d Solving 18 + 4d = 2 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 18 + 4d + -8d = 2 + 8d + -8d Combine like terms: 4d + -8d = -4d 18 + -4d = 2 + 8d + -8d Combine like terms: 8d + -8d = 0 18 + -4d = 2 + 0 18 + -4d = 2 Add '-18' to each side of the equation. 18 + -18 + -4d = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -4d = 2 + -18 -4d = 2 + -18 Combine like terms: 2 + -18 = -16 -4d = -16 Divide each side by '-4'. d = 4 Simplifying d = 4
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