simplify. - 5w - 4(-2z + w)+z
simplify. - 5w - 4(-2z + w)+z
Answer
Explanation:
Step1: Distribute -4
First, use the distributive property (a(b + c)=ab+ac). Here (a=-4), (b = - 2z) and (c = w). So, (-4(-2z + w)=(-4)\times(-2z)+(-4)\times w=8z-4w). The original expression (-5w-4(-2z + w)+z) becomes (-5w + 8z-4w+z).
Step2: Combine like - terms
Combine the (w) - terms and the (z) - terms. For the (w) - terms: (-5w-4w=(-5 - 4)w=-9w). For the (z) - terms: (8z+z=(8 + 1)z = 9z). So the simplified expression is (-9w + 9z).
Answer:
(-9w + 9z)