Answer: [tex]g=2[/tex]
Step-by-step explanation:
To solve this exercise you need to remember the following properties:
1. The Distributive property states that:
[tex]a(b+c)=ab+ac\\\\a(b-c)=ab-ac[/tex]
2. The Addition property of Equality statest that:
If [tex]a=b[/tex], then [tex]a+c=b+c[/tex]
3. The Subtraction property of Equality statest that:
If [tex]a=b[/tex], then [tex]a-c=b-c[/tex]
4. The Division property of Equality statest that:
If [tex]a=b[/tex], then [tex]\frac{a}{c}=\frac{b}{c}[/tex]
5. The Multiplication property of Equality statest that:
If [tex]a=b[/tex], then [tex]a*c=b*c[/tex]
Given the equation:
[tex]2(g - 15) = -26[/tex]
You must solve for "g" in order to find its value:
- Apply the Distributive property:
[tex]2g - 30= -26[/tex]
- Apply the Addition property of Equality adding 30 to both sides of the equation:
[tex]2g - 30+30= -26+30\\\\2g=4[/tex]
- Apply the Division property of Equality dividing both sides by 2:
[tex]\frac{2g}{2}=\frac{4}{2}\\\\g=2[/tex]
