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Answer :
Absolutely, let's simplify the right side of the equation step by step. Here’s the original equation:
[tex]\[ 7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8) \][/tex]
We have already simplified the left side to:
[tex]\[ 8.6 + 1.5m \][/tex]
Now, let's simplify the right side using the distributive property and combining like terms.
### Step 1: Distribute the constants
Distribute the [tex]\(-6.4\)[/tex] and [tex]\(4\)[/tex] into their respective parentheses on the right side of the equation:
[tex]\[ -6.4m + 4(0.5m - 0.8) \][/tex]
First, we distribute the 4:
[tex]\[ 4 \cdot 0.5m = 2m \][/tex]
[tex]\[ 4 \cdot -0.8 = -3.2 \][/tex]
So, the distributed form is:
[tex]\[ -6.4m + 2m - 3.2 \][/tex]
### Step 2: Combine like terms
Next, combine the terms involving [tex]\( m \)[/tex]:
[tex]\[ -6.4m + 2m = -4.4m \][/tex]
Then we have:
[tex]\[ -4.4m - 3.2 \][/tex]
After combining like terms, the simplified form of the right side becomes:
[tex]\[ -4.4m - 3.2 \][/tex]
So, the right side of the equation simplifies to:
[tex]\[ -4.4m - 3.2 \][/tex]
This step-by-step method shows how to distribute the constants and combine like terms to simplify the given equation's right side.
[tex]\[ 7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8) \][/tex]
We have already simplified the left side to:
[tex]\[ 8.6 + 1.5m \][/tex]
Now, let's simplify the right side using the distributive property and combining like terms.
### Step 1: Distribute the constants
Distribute the [tex]\(-6.4\)[/tex] and [tex]\(4\)[/tex] into their respective parentheses on the right side of the equation:
[tex]\[ -6.4m + 4(0.5m - 0.8) \][/tex]
First, we distribute the 4:
[tex]\[ 4 \cdot 0.5m = 2m \][/tex]
[tex]\[ 4 \cdot -0.8 = -3.2 \][/tex]
So, the distributed form is:
[tex]\[ -6.4m + 2m - 3.2 \][/tex]
### Step 2: Combine like terms
Next, combine the terms involving [tex]\( m \)[/tex]:
[tex]\[ -6.4m + 2m = -4.4m \][/tex]
Then we have:
[tex]\[ -4.4m - 3.2 \][/tex]
After combining like terms, the simplified form of the right side becomes:
[tex]\[ -4.4m - 3.2 \][/tex]
So, the right side of the equation simplifies to:
[tex]\[ -4.4m - 3.2 \][/tex]
This step-by-step method shows how to distribute the constants and combine like terms to simplify the given equation's right side.
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