Answer :
Certainly! Let's simplify the right side of the equation step-by-step using the distributive property and combining like terms.
The original equation is:
[tex]\[ 7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8) \][/tex]
We need to simplify the right side: [tex]\(-6.4m + 4(0.5m - 0.8)\)[/tex].
1. Distribute the 4 across the terms within the parentheses:
- For the term [tex]\(4(0.5m)\)[/tex]: Multiply 4 by [tex]\(0.5m\)[/tex], which gives us [tex]\(2m\)[/tex].
- For the term [tex]\(4(-0.8)\)[/tex]: Multiply 4 by [tex]\(-0.8\)[/tex], which gives us [tex]\(-3.2\)[/tex].
After distributing, the expression becomes:
[tex]\[-6.4m + 2m - 3.2\][/tex]
2. Combine like terms:
- Combine the [tex]\(m\)[/tex] terms: [tex]\(-6.4m + 2m\)[/tex] comes to [tex]\(-4.4m\)[/tex].
So, after combining like terms, the simplified expression is:
[tex]\[-4.4m - 3.2\][/tex]
There you have it—this is the simplified version of the right side of the equation: [tex]\(-4.4m - 3.2\)[/tex].
The original equation is:
[tex]\[ 7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8) \][/tex]
We need to simplify the right side: [tex]\(-6.4m + 4(0.5m - 0.8)\)[/tex].
1. Distribute the 4 across the terms within the parentheses:
- For the term [tex]\(4(0.5m)\)[/tex]: Multiply 4 by [tex]\(0.5m\)[/tex], which gives us [tex]\(2m\)[/tex].
- For the term [tex]\(4(-0.8)\)[/tex]: Multiply 4 by [tex]\(-0.8\)[/tex], which gives us [tex]\(-3.2\)[/tex].
After distributing, the expression becomes:
[tex]\[-6.4m + 2m - 3.2\][/tex]
2. Combine like terms:
- Combine the [tex]\(m\)[/tex] terms: [tex]\(-6.4m + 2m\)[/tex] comes to [tex]\(-4.4m\)[/tex].
So, after combining like terms, the simplified expression is:
[tex]\[-4.4m - 3.2\][/tex]
There you have it—this is the simplified version of the right side of the equation: [tex]\(-4.4m - 3.2\)[/tex].
