Evaluate: T=(9)/(8)M+39

Expression: $T=\frac{ 9 }{ 8 }M+39$

Multiply both sides of the equation by $8$

$8T=9M+312$

Move the variable to the left-hand side and change its sign

$8T-9M=312$

Move the variable to the right-hand side and change its sign

$-9M=312-8T$

Divide both sides of the equation by $-9$

$M=-\frac{ 104 }{ 3 }+\frac{ 8 }{ 9 }T$

Use the commutative property to reorder the terms

$M=\frac{ 8 }{ 9 }T-\frac{ 104 }{ 3 }$