Solve for p. 6p - 17p = 11 p = ____

Combine Like Terms: Combine like terms on the left side of the equation. We have 6p and -17p, which are like terms because they both contain the variable p. To combine them, we add their coefficients: 6 - 17 = -11. So, 6p - 17p simplifies to -11p.Write Simplified Equation: Write the simplified equation. After combining like terms, our equation is now -11p = 11.Solve for p: Solve for p by dividing both sides of the equation by -11. To isolate p, we divide both sides of the equation by -11. -11p / -11 = 11 / -11 This simplifies to p = -1.Check Solution: Check the solution. We substitute p = -1 back into the original equation to verify our solution. 6(-1) - 17(-1) = 11 -6 + 17 = 11 11 = 11 The left side of the equation equals the right side, confirming that p = -1 is the correct solution.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $p$ . $\newline$ $6p - 17p = 11$ $\newline$ $p =$ ____

View step-by-step help

Home

Math Problems

Grade 7

Solve equations involving like terms

Full solution

Q. Solve for

p

\newline

6p - 17p = 11

\newline

p =

____

Combine Like Terms: Combine like terms on the left side of the equation. $\newline$ We have $6p$ and $-17p$ , which are like terms because they both contain the variable $p$ . $\newline$ To combine them, we add their coefficients: $6 - 17 = -11$ . $\newline$ So, $6p - 17p$ simplifies to $-11p$ .
Write Simplified Equation: Write the simplified equation. $\newline$ After combining like terms, our equation is now $-11p = 11$ .
Solve for $p$ : Solve for $p$ by dividing both sides of the equation by $-11$ . $\newline$ To isolate $p$ , we divide both sides of the equation by $-11$ . $\newline$ $-11p / -11 = 11 / -11$ $\newline$ This simplifies to $p = -1$ .
Check Solution: Check the solution. $\newline$ We substitute $p = -1$ back into the original equation to verify our solution. $\newline$ $6(-1) - 17(-1) = 11$ $\newline$ $-6 + 17 = 11$ $\newline$ $11 = 11$ $\newline$ The left side of the equation equals the right side, confirming that $p = -1$ is the correct solution.