Question

Solve the equation using mental math.

$2+n=-6$

Short answer

The solution of the equation$2+n=-6$is $n=-8$

Step-by-step solution

Apply the concept of equation: 

An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.

Example: 3x + 5 = 14 is an equation, in which 3x+5 and 14 are two expressions separated by an ‘’equal’’ sign.

What are the steps to solve an equation? 

Step 1: Simplify each side of the equation by removing parenthesis and combining the like terms.

Step 2: Use addition or subtraction to isolate the variable term on one side (preferably in the left side).

Step 3: Use Multiplication or Division to solve for the variable.

Question: Solve the equation using mental math.  2 + n = – 6   

Solving the equation step by step $2+n=-6$

$\begin{array}{l}2+n=-6\\ 2-2+n=-6-2\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}[\hspace{0.17em}\hspace{0.17em}Subtract\hspace{0.17em}\hspace{0.17em}2\hspace{0.17em}\hspace{0.17em}from\hspace{0.17em}\hspace{0.17em}both\hspace{0.17em}\hspace{0.17em}sides\hspace{0.17em}\hspace{0.17em}]}\\ n=-8\end{array}$

The solution of the equation$2+n=-6$is$n=-8$