Math Problem Statement

To solve this equation, you need to get g alone on one side, and a constant on the other side. On the left, the g term is inside of parentheses. What move can you make to rewrite the left side of this equation without parentheses, so that it’s easier to work with? 9−4(g+1)

2g−7

Use the distributive property to multiply -4 and (g + 1)

Divide (g + 1) by -4

Subtract 9 minus 4, then multiply the result by (g + 1)

Solution

To rewrite the left side of the equation 94(g+1)=2g79 - 4(g + 1) = 2g - 7 without parentheses, you should use the distributive property to multiply -4 and (g+1)(g + 1).

Here's how it works:

  • Distribute the 4-4 to both terms inside the parentheses: 94(g+1)=94g49 - 4(g + 1) = 9 - 4g - 4
  • Simplify the expression on the left side: 94g4=54g9 - 4g - 4 = 5 - 4g

Now, the equation becomes: 54g=2g75 - 4g = 2g - 7

From here, you can proceed to solve for gg.

Would you like me to continue with the solution, or do you have any other questions?

Related Questions:

  1. How do you isolate gg after distributing the terms?
  2. What happens when you move all gg-terms to one side of the equation?
  3. How do you solve for gg when you have terms involving gg on both sides?
  4. How can you check if your solution for gg is correct?
  5. What is the inverse operation of distributing?

Tip: When distributing a negative number, remember that both terms inside the parentheses will change their signs.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Linear Equations

Formulas

Distributive property: a(b + c) = ab + ac
Linear equation form: ax + b = cx + d

Theorems

Distributive Property
Equality of Linear Equations

Suitable Grade Level

Grades 6-8