Answer:
[tex]\Huge \boxed{N=-4}[/tex]
Step-by-step explanation:
To solve this problem, first you have to isolate by the n from one side of the equation. Subtraction property of equality is subtracting both sides of an equation by the same number and it doesn't change the equation.
First, combine like terms. (group like terms or switch sides.)
[tex]\displaystyle n-4n+3=15[/tex]
Next, add numbers from left to right.
[tex]\displaystyle n-4n=-3n[/tex]
[tex]\displaystyle -3n+3=15[/tex]
Then, subtract 3 from both sides.
[tex]\displaystyle -3n+3-3=15-3[/tex]
Solve.
[tex]\displaystyle 15-3=12[/tex]
[tex]\displaystyle -3n=12[/tex]
Now, divide by -3 from both sides.
[tex]\displaystyle \frac{-3n}{-3}=\frac{12}{-3}[/tex]
Solve.
[tex]\displaystyle 12\div-3=\boxed{-4}[/tex]
[tex]\large\boxed{n=-4}[/tex]
Therefore, the solution is n=-4, which is our answer.
Answer and Step-by-step explanation:
[tex]\Huge \boxed{n=-4}[/tex]
Step 1: Simplify both sides of the equation:
[tex]n+3-4n=15[/tex]
[tex]n+3+-4n=15[/tex]
[tex](n+-4n)+(3)=15[/tex] (Combine the like terms)
[tex]-3n+3=15[/tex]
Step 2: Subtract 3 from both sides:
[tex]-3n+3-3=15-3[/tex]
[tex]-3n=12[/tex]
Step 3: Divide both sides by -3:
[tex]\frac{-3n}{-3} \frac{12}{-3}[/tex]
[tex]n=-4[/tex]
Answer: [tex]n=-4[/tex]
