# How do you solve for R in T+R=M?

Mar 30, 2016

$\text{ } R = M - T$

#### Explanation:

Given:$\text{ } \textcolor{b r o w n}{T + R = M}$

To solve for R your objective is to have R on its own on one side of the equals sign and everything else on the other side.

To have R on its own wee need to remove the 'T'

What you do to one side of an equation you do the other

Subtract (remove) $\textcolor{b l u e}{T}$ from both sides giving

$\textcolor{b r o w n}{T \textcolor{b l u e}{- T} + R \text{ "=" } M \textcolor{b l u e}{- T}}$

But $T - T = 0$ giving

$\text{ } 0 + R = M - T$

$\text{ } R = M - T$