Question

simplest terms: $-4(10b - 10c) + 9c - 10(-4c + 3b)$

Explanation:

Step1: Distribute the coefficients

First, we distribute -4 into (10b - 10c) and -10 into (-4c + 3b).
For -4(10b - 10c), we get: $-4\times10b + (-4)\times(-10c) = -40b + 40c$
For -10(-4c + 3b), we get: $-10\times(-4c) + (-10)\times3b = 40c - 30b$
So the expression becomes: $-40b + 40c + 9c + 40c - 30b$

Step2: Combine like terms

Now, we combine the terms with b and the terms with c.
For the b terms: $-40b - 30b = -70b$
For the c terms: $40c + 9c + 40c = 89c$

Answer:

$-70b + 89c$