To find the value of n in the equation 3(2n + 7) = 4(8 - n), let's simplify it step by step.
First, distribute the 3 on the left side and the 4 on the right side of the equation:
6n + 21 = 32 - 4n
Next, let's gather like terms by moving all the n terms to one side and the constant terms to the other side:
6n + 4n = 32 - 21
Simplifying further:
10n = 11
To solve for n, divide both sides of the equation by 10:
n = 11/10
So, the value of n in the equation is 1.1 as a decimal.