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Complete the process of solving the equation. Fill in the missing term on each line. Simplify any fractions.

[tex]\[
\begin{array}{l}
2(u+4)=14 \\
u+4=7 \\
u=3 \\
\text{Divide both sides by } 2 \\
\text{Subtract } 4 \text{ from both sides}
\end{array}
\][/tex]


Sagot :

Certainly! Here is the detailed, step-by-step solution for solving the equation:

[tex]\[ \begin{array}{l} 2(u+4)=14 \\ u+4=7 \\ u=3 \\ \text{ Divide both sides by } 2 \\ \text{ Subtract } 4 \text{ from both sides } \end{array} \][/tex]

Let's break it down:

1. Start with the given equation:
[tex]\[ 2(u+4)=14 \][/tex]

2. Divide both sides of the equation by 2:
[tex]\[ u+4 = \frac{14}{2} \][/tex]
Simplifying the right side, we get:
[tex]\[ u+4 = 7 \][/tex]

3. Subtract 4 from both sides of the equation to solve for [tex]\( u \)[/tex]:
[tex]\[ u = 7 - 4 \][/tex]
Simplifying the right side, we get:
[tex]\[ u = 3 \][/tex]

So the final solution is:
[tex]\[ u = 3 \][/tex]