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Simplifying 6(3 + d) = 2(5d + 1) (3 * 6 + d * 6) = 2(5d + 1) (18 + 6d) = 2(5d + 1) Reorder the terms: 18 + 6d = 2(1 + 5d) 18 + 6d = (1 * 2 + 5d * 2) 18 + 6d = (2 + 10d) Solving 18 + 6d = 2 + 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. 18 + 6d + -10d = 2 + 10d + -10d Combine like terms: 6d + -10d = -4d 18 + -4d = 2 + 10d + -10d Combine like terms: 10d + -10d = 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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