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Simplifying 4(d + 5) = 2(13 + -1d) Reorder the terms: 4(5 + d) = 2(13 + -1d) (5 * 4 + d * 4) = 2(13 + -1d) (20 + 4d) = 2(13 + -1d) 20 + 4d = (13 * 2 + -1d * 2) 20 + 4d = (26 + -2d) Solving 20 + 4d = 26 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 20 + 4d + 2d = 26 + -2d + 2d Combine like terms: 4d + 2d = 6d 20 + 6d = 26 + -2d + 2d Combine like terms: -2d + 2d = 0 20 + 6d = 26 + 0 20 + 6d = 26 Add '-20' to each side of the equation. 20 + -20 + 6d = 26 + -20 Combine like terms: 20 + -20 = 0 0 + 6d = 26 + -20 6d = 26 + -20 Combine like terms: 26 + -20 = 6 6d = 6 Divide each side by '6'. d = 1 Simplifying d = 1
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