Question

4(2g – 6) – 4(3g + 8) – 4g

Answer 1

The student asked how to simplify the algebraic expression 4(2g - 6) - 4(3g + 8) - 4g, and the result after applying distributive property and combining like terms is -8g - 56.

Step-by-step explanation:

The student's question involves simplifying a linear algebraic expression. The given expression is: 4(2g – 6) – 4(3g + 8) – 4g. To solve this, we need to apply the distributive property and combine like terms.

Step-by-step solution:

4. Apply the distributive property (multiply each term inside the parentheses by 4): 8g – 24 – 12g – 32 – 4g.
8. Combine like terms (group the g terms and the constant terms): (8g – 12g – 4g) + (–24 – 32).
12. Simplify the coefficients of g: 8g – 12g – 4g = –8g.
16. Add the constants: –24 – 32 = –56.
20. The simplified expression is –8g – 56.

This exercise requires knowledge of algebraic operations and simplification techniques.