Question

73 = -6(k - 7) + 6(k + 5)

Explanation:

Step1: Expand the right - hand side

First, we use the distributive property \(a(b + c)=ab+ac\) and \(a(b - c)=ab - ac\) to expand \(-6(k - 7)+6(k + 5)\).
\(-6(k - 7)=-6k+42\) and \(6(k + 5)=6k + 30\).
So the equation becomes \(73=-6k + 42+6k+30\).

Step2: Simplify the right - hand side

Combine like terms on the right - hand side. The \(-6k\) and \(+6k\) cancel each other out (\(-6k+6k = 0\)), and \(42 + 30=72\). So the equation is \(73=72\).

Answer:

This equation has no solution because \(73
eq72\).