Respuesta :

DivineSolar
Hey there, hope I can help!

First switch the sides
[tex]-2\left(m+3\right)+m=78[/tex]

[tex]Expand\;-2\left(m+3\right)+m[/tex]

[tex]-2\left(m+3\right)[/tex]
[tex]\mathrm{Distribute\:parentheses\:using}: \:a\left(b+c\right)=ab+ac[/tex]
[tex]Where\;a=-2,\:b=m,\:c=3[/tex]
[tex]-2\cdot \:m-2\cdot \:3[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6 \ \textgreater \ -2m-6 \ \textgreater \ -2m-6+m[/tex]

Simply group the like terms
[tex]-2m+m-6[/tex]

Add the similar elements which is -2m + m > -m > -m - 6 = 78

[tex]\mathrm{Add\:}6\mathrm{\:to\:both\:sides} \ \textgreater \ -m-6+6=78+6[/tex]

Simplify
-m = 84

[tex]\mathrm{Divide\:both\:sides\:by\:}-1 \ \textgreater \ \frac{-m}{-1}=\frac{84}{-1} \ \textgreater \ Simplify \ \textgreater \ m=-84[/tex]

Hope this helps!
Louli
Before we begin, note the following:
+ve * +ve = +ve
-ve * -ve = +ve
+ve * -ve = -ve
-ve * +ve = -ve

Now, for the given question:
The given equation is:
78 = -2(m+3) + m

To solve for m, we need to isolate m on one side of the equation and compute its value as follows:
78 = -2(m+3) + m
78 = -2m - 6 + m
m-2m = 78+6
-m = 84
m = 84/-1
m = -84

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