Question

$$-\frac{4}{3}m-3-4m-1=-m-3m-5-10m$$

Answer

m=-3/26

Solution


Simplify  \(\frac{4}{3}m\)  to  \(\frac{4m}{3}\).
\[-\frac{4m}{3}-3-4m-1=-m-3m-5-10m\]
Simplify  \(-\frac{4m}{3}-3-4m-1\)  to  \(-\frac{16m}{3}-4\).
\[-\frac{16m}{3}-4=-m-3m-5-10m\]
Simplify  \(-m-3m-5-10m\)  to  \(-14m-5\).
\[-\frac{16m}{3}-4=-14m-5\]
Multiply both sides by \(3\).
\[-16m-12=-42m-15\]
Add \(42m\) to both sides.
\[-16m-12+42m=-15\]
Simplify  \(-16m-12+42m\)  to  \(26m-12\).
\[26m-12=-15\]
Add \(12\) to both sides.
\[26m=-15+12\]
Simplify  \(-15+12\)  to  \(-3\).
\[26m=-3\]
Divide both sides by \(26\).
\[m=-\frac{3}{26}\]

Decimal Form: -0.115385