−0.8(4d−0.5)−0.4(−0.4d+5)

Sure, let's solve this step by step:

1. Distribute the -0.8 across (4d - 0.5): -0.8 * 4d = -3.2d -0.8 * -0.5 = 0.4

So, -0.8(4d - 0.5) becomes -3.2d + 0.4

2. Distribute the -0.4 across (-0.4d + 5): -0.4 * -0.4d = 0.16d -0.4 * 5 = -2

So, -0.4(-0.4d + 5) becomes 0.16d - 2

3. Now, combine the two parts: -3.2d + 0.4 + 0.16d - 2

4. Combine like terms: (-3.2d + 0.16d) + (0.4 - 2) = -3.04d - 1.6

So, the simplified form of the expression -0.8(4d - 0.5) - 0.4(-0.4d + 5) is -3.04d - 1.6.