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I'm having trouble with this problem "Solve the equation -8 + 6m = 1/2 (-4m +16) for m"

Sagot :

Let's begin by listing out the given information:

[tex]\begin{gathered} -8+6m=\frac{1}{2}(-4m+16) \\ \end{gathered}[/tex]

Let's proceed to expand the bracket. We have:

[tex]\begin{gathered} -8+6m=\frac{1}{2}(-4m+16) \\ -8+6m=-2m+8 \\ \end{gathered}[/tex]

We will put like terms together, we have:

[tex]\begin{gathered} 6m+2m=8+8 \\ 8m=16 \\ \text{Divide both sides by ''8'', we have:} \\ m=\frac{16}{8}=2 \\ m=2 \end{gathered}[/tex]