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Simplifying 2(4d + -6) = 5d + 12 Reorder the terms: 2(-6 + 4d) = 5d + 12 (-6 * 2 + 4d * 2) = 5d + 12 (-12 + 8d) = 5d + 12 Reorder the terms: -12 + 8d = 12 + 5d Solving -12 + 8d = 12 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -12 + 8d + -5d = 12 + 5d + -5d Combine like terms: 8d + -5d = 3d -12 + 3d = 12 + 5d + -5d Combine like terms: 5d + -5d = 0 -12 + 3d = 12 + 0 -12 + 3d = 12 Add '12' to each side of the equation. -12 + 12 + 3d = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 3d = 12 + 12 3d = 12 + 12 Combine like terms: 12 + 12 = 24 3d = 24 Divide each side by '3'. d = 8 Simplifying d = 8
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