To solve the equation [tex]\( 1.6m - 4.8 = -1.6m \)[/tex], follow these steps:
1. Combine like terms:
Begin by moving all terms involving [tex]\( m \)[/tex] to one side of the equation and constants to the other side. In this case, we add [tex]\( 1.6m \)[/tex] to both sides of the equation:
[tex]\[
1.6m - 4.8 + 1.6m = -1.6m + 1.6m
\][/tex]
This simplifies to:
[tex]\[
3.2m - 4.8 = 0
\][/tex]
2. Isolate the variable [tex]\( m \)[/tex]:
Next, we need to isolate [tex]\( m \)[/tex] by eliminating the constant term on the left side. Add [tex]\( 4.8 \)[/tex] to both sides of the equation:
[tex]\[
3.2m - 4.8 + 4.8 = 0 + 4.8
\][/tex]
This simplifies to:
[tex]\[
3.2m = 4.8
\][/tex]
3. Solve for [tex]\( m \)[/tex]:
Divide both sides of the equation by [tex]\( 3.2 \)[/tex] to solve for [tex]\( m \)[/tex]:
[tex]\[
m = \frac{4.8}{3.2}
\][/tex]
Simplifying the right side:
[tex]\[
m = 1.5
\][/tex]
Therefore, the solution to the equation [tex]\( 1.6m - 4.8 = -1.6m \)[/tex] is [tex]\( m = 1.5 \)[/tex]. Among the given choices, [tex]\( m = 1.5 \)[/tex] is the correct answer.
