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Simplifying 6(d + 6) = 3(d + -6) + 2d Reorder the terms: 6(6 + d) = 3(d + -6) + 2d (6 * 6 + d * 6) = 3(d + -6) + 2d (36 + 6d) = 3(d + -6) + 2d Reorder the terms: 36 + 6d = 3(-6 + d) + 2d 36 + 6d = (-6 * 3 + d * 3) + 2d 36 + 6d = (-18 + 3d) + 2d Combine like terms: 3d + 2d = 5d 36 + 6d = -18 + 5d Solving 36 + 6d = -18 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 36 + 6d + -5d = -18 + 5d + -5d Combine like terms: 6d + -5d = 1d 36 + 1d = -18 + 5d + -5d Combine like terms: 5d + -5d = 0 36 + 1d = -18 + 0 36 + 1d = -18 Add '-36' to each side of the equation. 36 + -36 + 1d = -18 + -36 Combine like terms: 36 + -36 = 0 0 + 1d = -18 + -36 1d = -18 + -36 Combine like terms: -18 + -36 = -54 1d = -54 Divide each side by '1'. d = -54 Simplifying d = -54
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