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Simplifying 6(d + 6) = 4(d + 6) + 24 Reorder the terms: 6(6 + d) = 4(d + 6) + 24 (6 * 6 + d * 6) = 4(d + 6) + 24 (36 + 6d) = 4(d + 6) + 24 Reorder the terms: 36 + 6d = 4(6 + d) + 24 36 + 6d = (6 * 4 + d * 4) + 24 36 + 6d = (24 + 4d) + 24 Reorder the terms: 36 + 6d = 24 + 24 + 4d Combine like terms: 24 + 24 = 48 36 + 6d = 48 + 4d Solving 36 + 6d = 48 + 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. 36 + 6d + -4d = 48 + 4d + -4d Combine like terms: 6d + -4d = 2d 36 + 2d = 48 + 4d + -4d Combine like terms: 4d + -4d = 0 36 + 2d = 48 + 0 36 + 2d = 48 Add '-36' to each side of the equation. 36 + -36 + 2d = 48 + -36 Combine like terms: 36 + -36 = 0 0 + 2d = 48 + -36 2d = 48 + -36 Combine like terms: 48 + -36 = 12 2d = 12 Divide each side by '2'. d = 6 Simplifying d = 6
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