Question

what is the value of p in the linear equation $24p + 12 - 18p = 10 + 2p - 6$?

• $-4$
• $-2$
• $2$
• $4$

Explanation:

Step1: Simplify both sides

Simplify left side: \(24p - 18p+12 = 6p + 12\)
Simplify right side: \(10 - 6+2p = 4 + 2p\)
Now the equation is \(6p + 12 = 2p + 4\)

Step2: Subtract \(2p\) from both sides

\(6p - 2p+12 = 2p - 2p+4\)
\(4p + 12 = 4\)

Step3: Subtract 12 from both sides

\(4p + 12 - 12 = 4 - 12\)
\(4p = -8\)

Step4: Divide by 4

\(\frac{4p}{4}=\frac{-8}{4}\)
\(p = -2\)

Answer:

\(-2\) (corresponding to the option: \(-2\))