Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
\[{-\dfrac{4}{7}p+(-\dfrac27p)+\dfrac17}\]
To combine like terms, we must have the same variable raised to the same power. In this case, we only have the variable $p$, which is raised to the power of $1$.
Combining the coefficients of the like terms, we have:
$-\dfrac{4}{7} p + (-\dfrac{2}{7}) p + \dfrac{1}{7} = \boxed{-\dfrac{6}{7} p + \dfrac{1}{7}}$
To combine like terms, we add or subtract coefficients that are attached to the same variable. In this expression, we have two terms with the variable 'p'.
The coefficients of these terms are \(-\dfrac{4}{7}\) and \(-\dfrac{2}{7}\), which have a common denominator of 7.
Adding these coefficients, we get:
\(-\dfrac{4}{7}p + (-\dfrac{2}{7})p = -\dfrac{4}{7}p - \dfrac{2}{7}p = -\dfrac{6}{7}p\)
So, the equivalent expression by combining like terms is:
\(-\dfrac{6}{7}p + \dfrac{1}{7}\)