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Simplifying 3(d + 4) = 2(d + -8) + 6d Reorder the terms: 3(4 + d) = 2(d + -8) + 6d (4 * 3 + d * 3) = 2(d + -8) + 6d (12 + 3d) = 2(d + -8) + 6d Reorder the terms: 12 + 3d = 2(-8 + d) + 6d 12 + 3d = (-8 * 2 + d * 2) + 6d 12 + 3d = (-16 + 2d) + 6d Combine like terms: 2d + 6d = 8d 12 + 3d = -16 + 8d Solving 12 + 3d = -16 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 12 + 3d + -8d = -16 + 8d + -8d Combine like terms: 3d + -8d = -5d 12 + -5d = -16 + 8d + -8d Combine like terms: 8d + -8d = 0 12 + -5d = -16 + 0 12 + -5d = -16 Add '-12' to each side of the equation. 12 + -12 + -5d = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -5d = -16 + -12 -5d = -16 + -12 Combine like terms: -16 + -12 = -28 -5d = -28 Divide each side by '-5'. d = 5.6 Simplifying d = 5.6
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