[tex]-5\left(3m-4\right)-6\left(2-\left(4m-\left(-5\right)\right)\right)=11[/tex]
[tex]-5\left(3m-4\right)-6\left(2-\left(4m+5\right)\right)=11[/tex]
Desarrollamos:
[tex]-5\left(3m-4\right)-6\left(2-\left(4m+5\right)\right)[/tex]
Expandimos
[tex]2-\left(4m+5\right):-4m-3[/tex]
[tex]-5\left(3m-4\right):-15m+20[/tex]
[tex]-6\left(-4m-3\right):24m+18[/tex]
[tex]=-15m+20+24m+18[/tex]
Ahora simplificamos
[tex]-15m+20+24m+18=9m+38[/tex]
[tex]=9m+38[/tex]
[tex]9m+38=11[/tex]
Restamos el 38 de ambos lados
[tex]9m+38-38=11-38[/tex]
Simplificamos
[tex]9m=-27[/tex]
[tex]\frac{9m}{9}=\frac{-27}{9}[/tex]
[tex]\boxed{=m=-3}[/tex]
[tex]Buena\:suerte\:con\:tus\:tareas\::ProfeAndresFelipe :)[/tex]
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Verified answer
RESOLVER:
[tex]-5\left(3m-4\right)-6\left(2-\left(4m-\left(-5\right)\right)\right)=11[/tex]
[tex]-5\left(3m-4\right)-6\left(2-\left(4m+5\right)\right)=11[/tex]
Desarrollamos:
[tex]-5\left(3m-4\right)-6\left(2-\left(4m+5\right)\right)[/tex]
Expandimos
[tex]2-\left(4m+5\right):-4m-3[/tex]
[tex]-5\left(3m-4\right):-15m+20[/tex]
[tex]-6\left(-4m-3\right):24m+18[/tex]
[tex]=-15m+20+24m+18[/tex]
Ahora simplificamos
[tex]-15m+20+24m+18=9m+38[/tex]
[tex]=9m+38[/tex]
[tex]9m+38=11[/tex]
Restamos el 38 de ambos lados
[tex]9m+38-38=11-38[/tex]
Simplificamos
[tex]9m=-27[/tex]
[tex]\frac{9m}{9}=\frac{-27}{9}[/tex]
[tex]\boxed{=m=-3}[/tex]
[tex]Buena\:suerte\:con\:tus\:tareas\::ProfeAndresFelipe :)[/tex]