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Simplifying 6(d + 6) = 4(d + -6) + 2n Reorder the terms: 6(6 + d) = 4(d + -6) + 2n (6 * 6 + d * 6) = 4(d + -6) + 2n (36 + 6d) = 4(d + -6) + 2n Reorder the terms: 36 + 6d = 4(-6 + d) + 2n 36 + 6d = (-6 * 4 + d * 4) + 2n 36 + 6d = (-24 + 4d) + 2n Solving 36 + 6d = -24 + 4d + 2n 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 = -24 + 4d + -4d + 2n Combine like terms: 6d + -4d = 2d 36 + 2d = -24 + 4d + -4d + 2n Combine like terms: 4d + -4d = 0 36 + 2d = -24 + 0 + 2n 36 + 2d = -24 + 2n Add '-36' to each side of the equation. 36 + -36 + 2d = -24 + -36 + 2n Combine like terms: 36 + -36 = 0 0 + 2d = -24 + -36 + 2n 2d = -24 + -36 + 2n Combine like terms: -24 + -36 = -60 2d = -60 + 2n Divide each side by '2'. d = -30 + n Simplifying d = -30 + n
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