Answer :
[tex]8(4p+1)=32p+8 \\\\ 32p+8=32+8 \\\\ 32p-32p=8-8 \\\\ \boxed{0=0}\\\\ Answer:p \ can \ take any \ value \ because \ every \ number \ would \ make \ the \ sentence \ true.[/tex]
What is your question ? Are you asking for the solution of the equation ?
The "solution" is the number that 'p' must be, in order to make the equation
a true statement.
When you eliminate the parentheses on the left side of the equation,
the left side becomes 32p + 8 .
Then the equation says 32p + 8 = 32p + 8 .
That's a true statement no matter what 'p' is .
So any number and every number is a solution of the equation.
The "solution" is the number that 'p' must be, in order to make the equation
a true statement.
When you eliminate the parentheses on the left side of the equation,
the left side becomes 32p + 8 .
Then the equation says 32p + 8 = 32p + 8 .
That's a true statement no matter what 'p' is .
So any number and every number is a solution of the equation.