Answer :
To simplify the right side of the equation, distribute the 4 within the parentheses, combine like terms, and simplify the expression to -4.4m - 3.2.
To simplify the right side of the equation [tex]\( 7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8) \)[/tex] by using the distributive property and combining like terms, follow these steps:
Step 1: Distribute the 4 on the right side
The right side of the equation is \( -6.4m + 4(0.5m - 0.8) \).
Distribute the 4 to both terms inside the parentheses:
[tex]\[ -6.4m + 4(0.5m) + 4(-0.8) \][/tex]
[tex]\[ -6.4m + 2m - 3.2 \][/tex]
Step 2: Combine like terms on the right side
Combine the terms involving [tex]\( m \)[/tex]:
[tex]\[ -6.4m + 2m = -4.4m \][/tex]
So the right side simplifies to:
[tex]\[ -4.4m - 3.2 \][/tex]
Therefore, the right side of the equation [tex]\( -6.4m + 4(0.5m - 0.8) \)[/tex] simplifies to [tex]\( -4.4m - 3.2 \)[/tex].
