Sure! Let's simplify the given expression step by step:
1. Start by distributing the -4 and the -10 in the expression:
-4(106 - 10c) + 9c - 10(-4c + 36)
= -4 * 106 + 4 * 10c + 9c + 10 * 4c - 10 * 36
2. Next, simplify each term:
= -424 + 40c + 9c + 40c - 360
3. Combine like terms:
= 40c + 40c + 9c - 424 - 360
4. Simplify further:
= 89c - 784
Therefore, the simplified form of the expression -4(106 - 10c) + 9c - 10(-4c + 36) is 89c - 784.
