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Simplifying 6(d + 6) = 4(d + -6) + -1d Reorder the terms: 6(6 + d) = 4(d + -6) + -1d (6 * 6 + d * 6) = 4(d + -6) + -1d (36 + 6d) = 4(d + -6) + -1d Reorder the terms: 36 + 6d = 4(-6 + d) + -1d 36 + 6d = (-6 * 4 + d * 4) + -1d 36 + 6d = (-24 + 4d) + -1d Combine like terms: 4d + -1d = 3d 36 + 6d = -24 + 3d Solving 36 + 6d = -24 + 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 = -24 + 3d + -3d Combine like terms: 6d + -3d = 3d 36 + 3d = -24 + 3d + -3d Combine like terms: 3d + -3d = 0 36 + 3d = -24 + 0 36 + 3d = -24 Add '-36' to each side of the equation. 36 + -36 + 3d = -24 + -36 Combine like terms: 36 + -36 = 0 0 + 3d = -24 + -36 3d = -24 + -36 Combine like terms: -24 + -36 = -60 3d = -60 Divide each side by '3'. d = -20 Simplifying d = -20
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