Question

1. solve for m in the following equation: x = -7k(n + m)

Explanation:

Step1: Divide both sides by -7k

To isolate the term \((n + m)\), we divide both sides of the equation \(x = -7k(n + m)\) by \(-7k\) (assuming \(k
eq0\)). So we get \(\frac{x}{-7k}=n + m\), which can also be written as \(-\frac{x}{7k}=n + m\).

Step2: Subtract n from both sides

Now, to solve for \(m\), we subtract \(n\) from both sides of the equation \(-\frac{x}{7k}=n + m\). This gives us \(m=-\frac{x}{7k}-n\), or we can also rewrite it by getting a common denominator: \(m = -\frac{x + 7kn}{7k}\) (by combining the terms \(-\frac{x}{7k}\) and \(-n=-\frac{7kn}{7k}\)).

Answer:

\(m = -\frac{x}{7k}-n\) (or \(m=-\frac{x + 7kn}{7k}\))