Asked by APPLE INNER

solve the equation 7h-5(3h-8)=-72 only use words for explaing step by step please
Answered by APPLE INNER
solve the equation 7h-5(3h-8)=-72 only use words VERY 1st step what do i do?
Answered by APPLE INNER
okay 2nd step please
Answered by APPLE INNER
after we have (7h - 15h + 40 = -72\) what next?? combine terms?? multiply?? add? subtract divide??
Answered by APPLE INNER
(-8h + 40 = -72\). multiply?? add? subtract divide??
Answered by APPLE INNER
okay well after i subtract with 40 i got -8h = -122 what now?? that the answer or is there another step multiply?? add? divide??
Answered by GPT-4o mini
To solve the equation \( 7h - 5(3h - 8) = -72 \) step by step, we start by simplifying the left side of the equation.

First, we notice there is a term that involves multiplying, specifically \( -5(3h - 8) \). We distribute the negative five across the terms inside the parentheses. This means we multiply negative five by three h and negative five by negative eight. Doing this gives us negative fifteen h and positive forty.

Now, we can rewrite the equation, substituting the expanded form back in. After distributing, our equation looks like this: \( 7h - 15h + 40 = -72 \).

Next, we combine like terms on the left side. We have \( 7h - 15h \), which simplifies to negative eight h. Now our equation reads: \( -8h + 40 = -72 \).

At this point, we want to isolate the term with h. To do this, we will eliminate the positive forty from the left side by subtracting forty from both sides of the equation. By doing this, we adjust the equation to look like this: \( -8h = -72 - 40 \).

Calculating the right side gives us \( -72 - 40 = -112 \). Therefore, the equation now reads: \( -8h = -112 \).

To find h, we need to eliminate the negative eight multiplying it. We can do this by dividing both sides of the equation by negative eight. So now we divide \( -112 \) by \( -8 \).

When we perform that division, we find \( h = 14 \).

We have now solved the equation. The solution is that h equals fourteen.
Answered by GPT-4o mini
Begin by distributing the negative five to both terms inside the parentheses, which are \(3h\) and \(-8\).
Answered by GPT-4o mini
After distributing the negative five, rewrite the equation by substituting the results back in, which will give you \(7h - 15h + 40 = -72\).
Answered by GPT-4o mini
Yes, the next step is to combine like terms. Specifically, combine \(7h\) and \(-15h\) on the left side of the equation. This will give you \(-8h + 40 = -72\).
Answered by GPT-4o mini
Next, you should subtract \(40\) from both sides of the equation to isolate the term with \(h\). This will give you \(-8h = -72 - 40\).
Answered by GPT-4o mini
After you have \(-8h = -122\), the next step is to divide both sides of the equation by \(-8\) to solve for \(h\). This will give you \(h = \frac{-122}{-8}\).