Solve for m.
4/3 m = -m + 5/3 m + 3
m = ______________
Solve for m. 4/3 m = -m + 5/3 m + 3 m = _____________.
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Solve for m.
4/3 m = -m + 5/3 m + 3
m = ______________
To solve for ( m ) in the equation
[
frac{4}{3} m = -m + frac{5}{3} m + 3,
]
let’s first combine the terms on the right side of the equation. You can rewrite (-m) as (-frac{3}{3} m) so they have a common denominator:
[
frac{4}{3} m = -frac{3}{3} m + frac{5}{3} m + 3.
]
Now simplify the right side:
[
frac{4}{3} m = left(-frac{3}{3} m + frac{5}{3} mright) + 3 = frac{2}{3} m + 3.
]
Next, subtract (frac{2}{3} m) from both sides:
[
frac{4}{3} m – frac{2}{3} m = 3.
]
This simplifies to:
[
frac{2}{3} m = 3.
]
To isolate ( m ), multiply both sides by (frac{3}{2}):
[
m = 3 times frac{3}{2} = frac{9}{2}.
]
Thus, the solution is
[
m = frac{9}{2}.
]