Simplifying Algebraic Expression

Using the Distributive Property & Combining Like Terms

Solve:
4 (g +7) = 64
4g + 4(4) = 64
4g + 16 = 64

I'm getting a bit confused and struggling a lot in this problem. Please help me!

Where did you get your second line?

4 (g +7) = 64

4g + 28 = 64

4g + 28 - 28 = 64 - 28

4g = 36

g = 36/4

g = 9

ohhhhh i made a little mistake in the problem in the second line

i must of type too fast or a typo

anyways thank you!!!!!!!!!! :)

You're welcome. :-)

Sure! I'd be happy to help you solve this algebraic expression.

To solve the equation, we'll start by using the distributive property to simplify the expression on the left-hand side of the equation.

The distributive property states that when you multiply a number by a sum or difference inside parentheses, you need to distribute the number to each term inside the parentheses.

In this case, we have 4 multiplied by (g + 7). Applying the distributive property, we need to multiply 4 to both terms inside the parentheses:

4(g + 7) becomes 4 * g + 4 * 7, which simplifies to 4g + 28.

So, the equation becomes:

4g + 28 = 64

Now, we can move on to combining like terms. Like terms are terms that have the same variable and exponent. In this case, the only like term is 4g.

So, let's simplify the equation by combining the like terms:

4g + 28 = 64

To isolate the variable, we'll subtract 28 from both sides of the equation:

4g + 28 - 28 = 64 - 28

This simplifies to:

4g = 36

Now, we'll solve for g by dividing both sides of the equation by 4:

(4g)/4 = 36/4

This simplifies to:

g = 9

Therefore, the solution to the equation 4(g + 7) = 64 is g = 9.