To solve the equation -7(7-2p)=-22+5p, you can start by distributing the -7 on the left-hand side of the equation:
-7(7-2p) = -49 + 14p
Substituting this expression into the original equation gives:
-49 + 14p = -22 + 5p
Next, you can simplify by moving all the terms with p to one side of the equation, and the constant terms to the other side. Adding 49 to both sides gives:
14p = 27 + 5p
Subtracting 5p from both sides gives:
9p = 27
Finally, you can solve for p by dividing both sides by 9:
p = 3
Therefore, the solution to the equation -7(7-2p)=-22+5p is p = 3.