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Simplifying 6(d + 1) = 4(d + 2) Reorder the terms: 6(1 + d) = 4(d + 2) (1 * 6 + d * 6) = 4(d + 2) (6 + 6d) = 4(d + 2) Reorder the terms: 6 + 6d = 4(2 + d) 6 + 6d = (2 * 4 + d * 4) 6 + 6d = (8 + 4d) Solving 6 + 6d = 8 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 6 + 6d + -4d = 8 + 4d + -4d Combine like terms: 6d + -4d = 2d 6 + 2d = 8 + 4d + -4d Combine like terms: 4d + -4d = 0 6 + 2d = 8 + 0 6 + 2d = 8 Add '-6' to each side of the equation. 6 + -6 + 2d = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 2d = 8 + -6 2d = 8 + -6 Combine like terms: 8 + -6 = 2 2d = 2 Divide each side by '2'. d = 1 Simplifying d = 1
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