To solve for [tex]\( u \)[/tex] in the equation:
[tex]\[ 29 = \frac{u}{2} + 13 \][/tex]
we can follow these steps:
1. Isolate the term containing [tex]\( u \)[/tex]: We need to get rid of the constant term on the right-hand side (13). We do this by subtracting 13 from both sides of the equation.
[tex]\[ 29 - 13 = \frac{u}{2} \][/tex]
2. Simplify the left-hand side: Perform the subtraction on the left-hand side.
[tex]\[ 16 = \frac{u}{2} \][/tex]
3. Solve for [tex]\( u \)[/tex]: To isolate [tex]\( u \)[/tex], we need to remove the division by 2. We do this by multiplying both sides of the equation by 2.
[tex]\[ 16 \times 2 = u \][/tex]
4. Simplify: Perform the multiplication.
[tex]\[ 32 = u \][/tex]
So, the value of [tex]\( u \)[/tex] is:
[tex]\[ u = 32 \][/tex]
