Question

Found out g 2(g - 15) = -26 Please help

Answer 1

Answer: $g=2$

Step-by-step explanation:

To solve this exercise you need to remember the following properties:

1. The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ac$

2. The Addition property of Equality statest that:

If $a=b$, then $a+c=b+c$

3. The Subtraction property of Equality statest that:

If $a=b$, then $a-c=b-c$

4. The Division property of Equality statest that:

If $a=b$, then $\frac{a}{c}=\frac{b}{c}$

5. The Multiplication property of Equality statest that:

If $a=b$, then $a*c=b*c$

Given the equation:

$2(g - 15) = -26$

You must solve for "g" in order to find its value:

- Apply the Distributive property:

$2g - 30= -26$

- Apply the Addition property of Equality adding 30 to both sides of the equation:

$2g - 30+30= -26+30\\\\2g=4$

- Apply the  Division property of Equality dividing both sides by 2:

$\frac{2g}{2}=\frac{4}{2}\\\\g=2$