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Simplifying 6(d + 6) = (d + -6) + 2d Reorder the terms: 6(6 + d) = (d + -6) + 2d (6 * 6 + d * 6) = (d + -6) + 2d (36 + 6d) = (d + -6) + 2d Reorder the terms: 36 + 6d = (-6 + d) + 2d Remove parenthesis around (-6 + d) 36 + 6d = -6 + d + 2d Combine like terms: d + 2d = 3d 36 + 6d = -6 + 3d Solving 36 + 6d = -6 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 36 + 6d + -3d = -6 + 3d + -3d Combine like terms: 6d + -3d = 3d 36 + 3d = -6 + 3d + -3d Combine like terms: 3d + -3d = 0 36 + 3d = -6 + 0 36 + 3d = -6 Add '-36' to each side of the equation. 36 + -36 + 3d = -6 + -36 Combine like terms: 36 + -36 = 0 0 + 3d = -6 + -36 3d = -6 + -36 Combine like terms: -6 + -36 = -42 3d = -42 Divide each side by '3'. d = -14 Simplifying d = -14
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