4) \( -(-8 p+3)=-7 p+3(4+5 p) \)

Let's expand and simplify the equation step-by-step: First, the left side becomes: \[ -(-8p + 3) = 8p - 3. \] Now for the right side, distribute the \(3\) into \((4 + 5p)\): \[ -7p + 3(4 + 5p) = -7p + 12 + 15p. \] Now combine like terms on the right side: \[ -7p + 15p + 12 = 8p + 12. \] Now we have: \[ 8p - 3 = 8p + 12. \] Next, let's eliminate the \(8p\) from both sides: \[ -3 = 12. \] Since this is not possible (a contradiction), it means that there are no solutions for \(p\). This indicates that the equation is inconsistent.