Final answer:
The expression 9p+9p is equivalent to 18p because you add together the coefficients of like terms, resulting in 18p following the algebraic rule of combining like terms.
Step-by-step explanation:
The expression 9p+9p is equivalent to 18p. When combining like terms in algebra, you simply add the coefficients (the numbers in front of the variables) while keeping the variable part the same. Since both terms have 'p' as the variable and '9' as the coefficient, you would add 9 + 9 to get 18, and then place the variable 'p' next to it, without changing the variable itself. This follows the rule xPx9 = x(p+q), where the Ps and qs represent the coefficients.