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Simplifying 6d + -3(d + -8) = (d + 12) Reorder the terms: 6d + -3(-8 + d) = (d + 12) 6d + (-8 * -3 + d * -3) = (d + 12) 6d + (24 + -3d) = (d + 12) Reorder the terms: 24 + 6d + -3d = (d + 12) Combine like terms: 6d + -3d = 3d 24 + 3d = (d + 12) Reorder the terms: 24 + 3d = (12 + d) Remove parenthesis around (12 + d) 24 + 3d = 12 + d Solving 24 + 3d = 12 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 24 + 3d + -1d = 12 + d + -1d Combine like terms: 3d + -1d = 2d 24 + 2d = 12 + d + -1d Combine like terms: d + -1d = 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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