Math Problem Statement

Expand and simplify 7 + 4(5w - 1)

Solution

The given expression is:

7+4(5w1)7 + 4(5w - 1)

To expand and simplify:

  1. First, distribute the 4 to both terms inside the parentheses: 7+4×5w4×17 + 4 \times 5w - 4 \times 1 7+20w47 + 20w - 4

  2. Now, combine like terms: (74)+20w(7 - 4) + 20w 3+20w3 + 20w

Thus, the expanded and simplified expression is:

20w+320w + 3

Would you like more details or explanations? Let me know if you have any questions! Here are some related questions to explore further:

  1. How do you simplify an expression with multiple terms?
  2. What happens if there’s a negative number inside parentheses?
  3. How do you distribute when there’s a coefficient like 4?
  4. What’s the difference between expanding and factoring?
  5. Can you simplify expressions with multiple variables?

Tip: Always distribute any constants to the terms inside parentheses before combining like terms!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Distribution of terms

Formulas

-

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8