Simplify each expression. -1/4(20m+8y-32ɀ)

Verified step by step guidance

1. Distribute the factor $-\frac{1}{4}$ to each term inside the parentheses.
2. Multiply $-\frac{1}{4}$ by $20m$ to simplify the first term.
3. Multiply $-\frac{1}{4}$ by $8y$ to simplify the second term.
4. Multiply $-\frac{1}{4}$ by $-32z$ to simplify the third term.
5. Combine the simplified terms to get the final expression.

Key Concepts

Distributive Property

The distributive property states that a(b + c) = ab + ac. This property allows us to multiply a single term by each term inside a set of parentheses. In the given expression, -1/4 is distributed to each term within the parentheses, which simplifies the expression effectively.

Combining Like Terms

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. After applying the distributive property, you may encounter terms that can be simplified further by combining them, which streamlines the expression and makes it easier to understand.

Negative Coefficients

A negative coefficient indicates that the term it multiplies will have its sign reversed when simplified. In this expression, the -1/4 will change the signs of the terms it multiplies, which is crucial for correctly simplifying the expression and ensuring the final result is accurate.