6. \( 19=-23+6(2-p) \)

Let's solve the equation step-by-step! First, we can simplify the equation by isolating \(p\). Start with the original equation: \(19 = -23 + 6(2 - p)\). Next, add 23 to both sides to simplify it: \(19 + 23 = 6(2 - p)\) This gives us: \(42 = 6(2 - p)\). Now, divide both sides by 6 to get rid of the coefficient: \(7 = 2 - p\). To find \(p\), subtract 2 from both sides: \(7 - 2 = -p\) So: \(5 = -p\) Finally, multiply both sides by -1: \(p = -5\). And there you have the solution! \(p = -5\).