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5m-2=\frac{43}{4}
Divide both sides by 4.
5m=\frac{43}{4}+2
Add 2 to both sides.
5m=\frac{43}{4}+\frac{8}{4}
Convert 2 to fraction \frac{8}{4}.
5m=\frac{43+8}{4}
Since \frac{43}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.
5m=\frac{51}{4}
Add 43 and 8 to get 51.
m=\frac{\frac{51}{4}}{5}
Divide both sides by 5.
m=\frac{51}{4\times 5}
Express \frac{\frac{51}{4}}{5} as a single fraction.
m=\frac{51}{20}
Multiply 4 and 5 to get 20.