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Simplifying 3(d + 12) = 6(d + 8) Reorder the terms: 3(12 + d) = 6(d + 8) (12 * 3 + d * 3) = 6(d + 8) (36 + 3d) = 6(d + 8) Reorder the terms: 36 + 3d = 6(8 + d) 36 + 3d = (8 * 6 + d * 6) 36 + 3d = (48 + 6d) Solving 36 + 3d = 48 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 36 + 3d + -6d = 48 + 6d + -6d Combine like terms: 3d + -6d = -3d 36 + -3d = 48 + 6d + -6d Combine like terms: 6d + -6d = 0 36 + -3d = 48 + 0 36 + -3d = 48 Add '-36' to each side of the equation. 36 + -36 + -3d = 48 + -36 Combine like terms: 36 + -36 = 0 0 + -3d = 48 + -36 -3d = 48 + -36 Combine like terms: 48 + -36 = 12 -3d = 12 Divide each side by '-3'. d = -4 Simplifying d = -4
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