Answered

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

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

1. Distribute the 2:
[tex]\[ 7.8 + 2(0.75m + 0.4) = 7.8 + 1.5m + 0.8 \][/tex]

2. Combine like terms:
[tex]\[ 7.8 + 0.8 + 1.5m = 8.6 + 1.5m \][/tex]

Now, use the same steps to simplify the right side of the equation. What does it simplify to?

A. [tex]\(-8.4m - 3.2\)[/tex]
B. [tex]\(-8.4m - 0.8\)[/tex]
C. [tex]\(-4.4m - 0.8\)[/tex]
D. [tex]\(-4.4m - 3.2\)[/tex]



Answer :

To simplify the right side of the equation, we will follow similar steps as those used for the left side.

Given expression on the right side:
[tex]\( -6.4m + 4(0.5m - 0.8) \)[/tex]

1. Distribute the 4:
[tex]\( 4(0.5m - 0.8) = 4 \cdot 0.5m - 4 \cdot 0.8 \)[/tex]
[tex]\( = 2m - 3.2 \)[/tex]

2. Combine like terms with [tex]\( -6.4m \)[/tex]:
[tex]\( -6.4m + 2m - 3.2 \)[/tex]
[tex]\( = -4.4m - 3.2 \)[/tex]

So, the right side simplifies to:
[tex]\[ -4.4m - 3.2 \][/tex]

Therefore, the correct simplified expression is:
[tex]\[ -4.4m - 3.2 \][/tex]

Among the given options, the correct one is:
[tex]\[ -4.4m - 3.2 \][/tex]