Question

1. 28 = -k + 16 - 2k - 9

Explanation:

Step1: Combine like terms on the right side

First, combine the \(k\)-terms and the constant terms on the right side of the equation. The \(k\)-terms are \(-k\) and \(-2k\), and the constant terms are \(16\) and \(-9\).
Combining the \(k\)-terms: \(-k - 2k=-3k\)
Combining the constant terms: \(16 - 9 = 7\)
So the equation becomes \(28=-3k + 7\)

Step2: Isolate the variable term

Subtract \(7\) from both sides of the equation to get the term with \(k\) by itself.
\(28-7=-3k+7 - 7\)
\(21=-3k\)

Step3: Solve for \(k\)

Divide both sides of the equation by \(-3\) to solve for \(k\).
\(\frac{21}{-3}=\frac{-3k}{-3}\)
\(- 7=k\)

Answer:

\(k = - 7\)