Answer: [tex]m=10[/tex]
Step-by-step explanation:
1) Simplify both sides of the equation: [tex]150m+-100m+48500=51000+-200m[/tex]
[tex](150m+-100m)+(48500)=-200m+51000[/tex] (Combine Like Terms)
[tex]50m+48500=-200m+51000[/tex]
2) Add 200m to both sides: [tex]50m+48500+200m=-200m+51000+200m[/tex]
[tex]250m+48500=51000[/tex]
3) Subtract 48500 from both sides: [tex]250m+48500-48500=51000-48500[/tex]
[tex]250m=2500[/tex]
4) Divide both sides by 250: [tex]250m/250=2500/250[/tex]
Get your answer: [tex]m=10[/tex]