Question

14 + 2(5u - 4) - 3u =

Explanation:

Step 1: Distribute the 2

We use the distributive property \(a(b + c)=ab+ac\) to expand \(2(5u - 4)\). So \(2\times5u=10u\) and \(2\times(- 4)=-8\). The expression becomes \(14 + 10u-8-3u\).

Step 2: Combine like terms (constants)

Combine the constant terms \(14\) and \(-8\). \(14-8 = 6\). Now the expression is \(6 + 10u-3u\).

Step 3: Combine like terms (variables)

Combine the \(u\) terms \(10u\) and \(-3u\). \(10u-3u=7u\). So the simplified expression is \(6 + 7u\) (or \(7u + 6\)).

Answer:

\(7u + 6\)