Question

rewrite in simplest terms: $9(7m - 10) + 7(-5m - 8)$

Explanation:

Step1: Distribute the coefficients

First, we use the distributive property \(a(b + c)=ab+ac\) to expand both terms.
For \(9(7m - 10)\), we get \(9\times7m-9\times10 = 63m-90\).
For \(7(-5m - 8)\), we get \(7\times(-5m)-7\times8=-35m - 56\).
So the expression becomes \(63m-90-35m - 56\).

Step2: Combine like terms

Now, we combine the terms with \(m\) and the constant terms separately.
For the \(m\) terms: \(63m-35m=(63 - 35)m = 28m\).
For the constant terms: \(-90-56=-146\).

Answer:

\(28m-146\)