Question

solve the equation and check your solution.
$6(n + 5) = 3(n + 16)$
$n = \boxed{}$
need help?

Explanation:

Step1: Expand both sides

$6n + 30 = 3n + 48$

Step2: Isolate $n$ terms

$6n - 3n = 48 - 30$

Step3: Simplify to solve for $n$

$3n = 18 \implies n = \frac{18}{3} = 6$

Step4: Verify the solution

Left side: $6(6+5)=6\times11=66$
Right side: $3(6+16)=3\times22=66$
Both sides are equal, so $n=6$ is valid.

Answer:

$n=6$