Question

question
rewrite in simplest terms: $4(-p - 3q) + 9q - 10(6q + 3p)$

Explanation:

Step1: Distribute the coefficients

First, distribute 4 into \((-p - 3q)\) and -10 into \((6q + 3p)\).
For \(4(-p - 3q)\), we get \(4\times(-p)+4\times(-3q)= -4p - 12q\).
For \(-10(6q + 3p)\), we get \(-10\times6q+(-10)\times3p = -60q - 30p\).
So the expression becomes \(-4p - 12q + 9q - 60q - 30p\).

Step2: Combine like terms for \(p\) and \(q\)

For the \(p\) terms: \(-4p - 30p = (-4 - 30)p = -34p\).
For the \(q\) terms: \(-12q + 9q - 60q = (-12 + 9 - 60)q = (-3 - 60)q = -63q\).

Answer:

\(-34p - 63q\)