Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$Combine like terms to create an equivalent expression. Enter any coefficients as simplified proper or improper fractions or integers. -(4)/(7)p+(-(2)/(7)p)+(1)/(7)$

-\left(\frac{ $4$ }{ $7$ }\right)p+-\left(\frac{ $2$ }{ $7$ }\right)p+\left(\frac{ $1$ }{ $7$ }\right)

View step-by-step help

Home

Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. -\left(\frac{

4

}{

7

}\right)p+-\left(\frac{

2

}{

7

}\right)p+\left(\frac{

1

}{

7

}\right)

Identify like terms: Identify like terms. In the expression, $-(\frac{4}{7})p$ , $-(\frac{2}{7})p$ , and $\frac{1}{7}$ are the terms we are looking at. The terms $-(\frac{4}{7})p$ and $-(\frac{2}{7})p$ are like terms because they both contain the variable $p$ with the same exponent (which is $1$ , though not written). The term $\frac{1}{7}$ is not a like term with the others because it does not contain the variable $p$ .
Combine like terms: Combine the like terms. $\newline$ To combine the like terms, we add the coefficients of $-\frac{4}{7}p$ and $-\frac{2}{7}p$ together. $\newline$ -\frac{$4$}{$7$}p + \left(-\frac{$2$}{$7$}p\right) = -\left(\frac{$4$}{$7$} + \frac{$2$}{$7$}\right)p\(\newlineNow, we add the fractions.
Add fractions: Add the fractions. $\newline$ When adding fractions with the same denominator, we simply add the numerators and keep the denominator the same. $\newline$ $-\left(\frac{4}{7} + \frac{2}{7}\right) = -\frac{6}{7}$ $\newline$ So, $-\left(\frac{4}{7}\right)p + \left(-\left(\frac{2}{7}\right)p\right)$ becomes $-\frac{6}{7}p$ .
Write final expression: Write the final expression. $\newline$ Now we have the combined like terms and the constant term. We write them together to form the equivalent expression. $\newline$ $-\frac{6}{7}p + \frac{1}{7}$ $\newline$ This is the simplified expression after combining like terms.