Question

solve for n

1. $3 \times (2 + 8) = (3 \times 2) + (3 \times n)$ $n = $
2. $2 \times (n + 5) = 12 + 10$ $n = $

Explanation:

Problem 5:

Step1: Apply distributive property

$3\times(2+8) = 3\times2 + 3\times8$

Step2: Match to given equation

Compare $3\times2 + 3\times8 = (3\times2)+(3\times n)$, so $n=8$.

Problem 6:

Step1: Calculate right-hand side

$12+10=22$

Step2: Divide both sides by 2

$\frac{2\times(n+5)}{2}=\frac{22}{2}$
$n+5=11$

Step3: Subtract 5 from both sides

$n=11-5$
$n=6$

Answer:

For problem 5: $n=8$
For problem 6: $n=6$