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Simplifying 3d + -4(5d + -8) = -12 + -6d Reorder the terms: 3d + -4(-8 + 5d) = -12 + -6d 3d + (-8 * -4 + 5d * -4) = -12 + -6d 3d + (32 + -20d) = -12 + -6d Reorder the terms: 32 + 3d + -20d = -12 + -6d Combine like terms: 3d + -20d = -17d 32 + -17d = -12 + -6d Solving 32 + -17d = -12 + -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. 32 + -17d + 6d = -12 + -6d + 6d Combine like terms: -17d + 6d = -11d 32 + -11d = -12 + -6d + 6d Combine like terms: -6d + 6d = 0 32 + -11d = -12 + 0 32 + -11d = -12 Add '-32' to each side of the equation. 32 + -32 + -11d = -12 + -32 Combine like terms: 32 + -32 = 0 0 + -11d = -12 + -32 -11d = -12 + -32 Combine like terms: -12 + -32 = -44 -11d = -44 Divide each side by '-11'. d = 4 Simplifying d = 4
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