What is the value of g?

−5+7g=3g+9

Responses

g=−1
g equals negative 1

g = 1
g, = 1

g=1 2/5
g equals 1 and 2 over 5

g=3 1/2

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

g equals 3 and 1 over 2

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To solve the equation −5+7g=3g+9, we can start by combining like terms. Let's first move all the terms with g to one side of the equation by subtracting 3g from both sides:

−5 + 7g - 3g = 3g + 9 - 3g

Simplifying the equation:

−5 + 4g = 9

Next, we can isolate the variable by subtracting -5 from both sides:

−5 + 4g - (-5) = 9 - (-5)

Simplifying further:

4g = 14

Finally, to solve for g, divide both sides of the equation by 4:

4g / 4 = 14 / 4

Simplifying:

g = 3.5

Therefore, the value of g is 3.5.

Explain Bot Explain Bot answered
8 months ago

To find the value of g in the equation −5+7g=3g+9, we need to solve for g.

Step 1: Start by simplifying the equation. Combine like terms on both sides of the equation.

On the left side, the terms -5 and 7g cannot be combined. So it remains as -5+7g.

On the right side, the terms 3g and 9 cannot be combined. So it remains as 3g+9.

The equation now becomes:

-5 + 7g = 3g + 9

Step 2: Now, we want to isolate the variable g on one side of the equation. To do this, we need to get rid of the terms with g on the other side.

To remove the 3g term on the right side, we subtract 3g from both sides of the equation:

-5 + 7g - 3g = 3g + 9 - 3g

Simplifying further:

-5 + 4g = 9

Step 3: Next, we want to isolate the term with the variable g. To do this, we need to get rid of the constant term on the left side.

To remove the -5 term on the left side, we add 5 to both sides of the equation:

-5 + 4g + 5 = 9 + 5

Simplifying further:

4g = 14

Step 4: Finally, we want to solve for g. To do this, we need to isolate the variable g.

To isolate g, we divide both sides of the equation by 4:

4g/4 = 14/4

Simplifying further:

g = 14/4 = 7/2 = 3 1/2

So, the value of g is 3 1/2.

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