Question

3(7 + 4n) = 41 +10n​

Answer 1

On simplification of above expression, n = 10.

Explanation:

Here, the given expression is : 3(7 + 4n) = 41 +10n

by DISTRIBUTIVE PROPERTY:

A ( B + C ) = AB + AC

Now, here simplifying the expression,

3(7 + 4n) = 41 +10 n ⇒ 3(7) + 3(4 n) = 41 + 10 n

or, 21 + 12 n = 41 + 10 n

or, 12 n - 10 n = 41 - 21

or, 2 n = 20

⇒ n = 20 / 2 = 10

or, n = 10

Hence, on simplification of above expression, n = 10.