Question

solve for (\triangle).
(11 = 2(-14+\triangle)+7)

Explanation:

Step1: Simplify the equation

First, expand the right - hand side of the equation \(11 = 2(-14+\phi)+7\).
Using the distributive property \(a(b + c)=ab+ac\), we get \(11=2\times(-14)+2\phi+7\).
So, \(11=-28 + 2\phi+7\).
Combine like terms: \(11=2\phi-21\).

Step2: Isolate the variable term

Add \(21\) to both sides of the equation \(11 = 2\phi-21\).
\(11 + 21=2\phi-21+21\).
Which simplifies to \(32 = 2\phi\).

Step3: Solve for \(\phi\)

Divide both sides of the equation \(32 = 2\phi\) by \(2\).
\(\frac{32}{2}=\frac{2\phi}{2}\).

Answer:

\(16\)