Consider this equation:

[tex]\[ 7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8) \][/tex]

Follow the steps to simplify the left side of the equation by using the distributive property and combining like terms.

1. Distribute the 2:
[tex]\[ 7.8 + 1.5m + 0.8 \][/tex]

2. Combine like terms:
[tex]\[ 8.6 + 1.5m \][/tex]

Use the same steps to simplify the right side of the equation. What would it simplify to?

Let's simplify the right side of the given equation step by step using the distributive property and combining like terms.

The equation is:
[tex]\[ 4(0.5m - 0.8) \][/tex]

### Step 1: Distribute the 4
- When we apply the distributive property, we multiply each term inside the parentheses by 4.
[tex]\[
4 \cdot 0.5m = 2m
\][/tex]
[tex]\[
4 \cdot (-0.8) = -3.2
\][/tex]

So, after distributing, the expression on the right side becomes:
[tex]\[ 2m - 3.2 \][/tex]

Now, let's place this into the original right side of the equation:
[tex]\[ -6.4m + 2m - 3.2 \][/tex]

### Step 2: Combine like terms
- Combine the terms with [tex]$ m $[/tex]:
[tex]\[
-6.4m + 2m = (-6.4 + 2)m = -4.4m
\][/tex]

Thus, after combining like terms, the right side of the equation simplifies to:
[tex]\[ -4.4m - 3.2 \][/tex]

This is the simplified form of the right side of the equation.