Question 235231
Good Evening,

You want to solve the equation 7 – 2n = n -14.

Let’s start by looking at what we hope to achieve in the long run.  We want to solve for the variable, n.  This means we want an equation that looks something like this:
n = value

Let’s start by moving the 7 to the right hand side.  Remember you must do the same operation on both sides of the equation.  So let’s subtract 7 from both sides:
7 – 7 -2n = n -14 -7
0 -2n = n -21

Next, let’s  move the term n to the left side by doing the same thing.  Subtract n from both sides:
-2n – n = n – n -21
-2n –n = 0 -21
-3n = -21 

Lastly, divide both sides by -3 so we have n in isolation on one side:
n = 7

Let’s check that the result is correct by substituting it into the original equation:

7 – 2 (7) = 7 – 14
-7  = - 7
The left-hand-side is equal to the right-hand-side, so the answer is correct.

Good Luck!

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