Sure, let's solve for [tex]\( a \)[/tex] in the given equation:
[tex]\[ Y = -n^3 + \frac{3}{4} a \][/tex]
We need to isolate [tex]\( a \)[/tex]. Here’s a step-by-step solution:
1. Start with the given equation:
[tex]\[ Y = -n^3 + \frac{3}{4} a \][/tex]
2. To isolate [tex]\( a \)[/tex], we first need to move [tex]\( -n^3 \)[/tex] to the other side of the equation by adding [tex]\( n^3 \)[/tex] to both sides:
[tex]\[ Y + n^3 = \frac{3}{4} a \][/tex]
3. Now, to solve for [tex]\( a \)[/tex], we need to eliminate the fraction [tex]\(\frac{3}{4}\)[/tex] in front of [tex]\( a \)[/tex]. We do this by multiplying both sides of the equation by [tex]\(\frac{4}{3}\)[/tex]:
[tex]\[ \frac{4}{3} (Y + n^3) = a \][/tex]
Thus, the solution for [tex]\( a \)[/tex] is:
[tex]\[ a = \frac{4}{3} (Y + n^3) \][/tex]
So the final solution is:
[tex]\[ a = 24 \][/tex]
