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 without parentheses, you should use the distributive property to multiply -4 and .
Here's how it works:
- Distribute the to both terms inside the parentheses:
- Simplify the expression on the left side:
Now, the equation becomes:
From here, you can proceed to solve for .
Would you like me to continue with the solution, or do you have any other questions?
Related Questions:
- How do you isolate after distributing the terms?
- What happens when you move all -terms to one side of the equation?
- How do you solve for when you have terms involving on both sides?
- How can you check if your solution for is correct?
- 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