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Simplifying 7d + -3(4d + -8) = 6d + 12 + -9d Reorder the terms: 7d + -3(-8 + 4d) = 6d + 12 + -9d 7d + (-8 * -3 + 4d * -3) = 6d + 12 + -9d 7d + (24 + -12d) = 6d + 12 + -9d Reorder the terms: 24 + 7d + -12d = 6d + 12 + -9d Combine like terms: 7d + -12d = -5d 24 + -5d = 6d + 12 + -9d Reorder the terms: 24 + -5d = 12 + 6d + -9d Combine like terms: 6d + -9d = -3d 24 + -5d = 12 + -3d Solving 24 + -5d = 12 + -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. 24 + -5d + 3d = 12 + -3d + 3d Combine like terms: -5d + 3d = -2d 24 + -2d = 12 + -3d + 3d Combine like terms: -3d + 3d = 0 24 + -2d = 12 + 0 24 + -2d = 12 Add '-24' to each side of the equation. 24 + -24 + -2d = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -2d = 12 + -24 -2d = 12 + -24 Combine like terms: 12 + -24 = -12 -2d = -12 Divide each side by '-2'. d = 6 Simplifying d = 6
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