Solve R=3T+1/2M

$$R = 3 T + \frac { 1 } { 2 } M$$

Solve for M

$$M=2\left(R-3T\right)$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$3T+\frac{1}{2}M=R$$

Subtract 3T from both sides.

$$\frac{1}{2}M=R-3T$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}M}{\frac{1}{2}}=\frac{R-3T}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$M=\frac{R-3T}{\frac{1}{2}}$$

Divide R-3T by \frac{1}{2} by multiplying R-3T by the reciprocal of \frac{1}{2}.

$$M=2R-6T$$

Solve for R

$$R=\frac{M+6T}{2}$$