Question

-4(5h+7) + 16h =40
what's the H and show me the steps

Answer 1

To solve the equation \(-4(5h + 7) + 16h = 40\), we will follow these steps:

1. Distribute the \(-4\) in the equation.
2. Combine like terms.
3. Isolate \(h\).
4. Solve for \(h\).

Let's go through the steps:

### Step 1: Distribute \(-4\)

\[
-4(5h) - 4(7) + 16h = 40
\]

This simplifies to:

\[
-20h - 28 + 16h = 40
\]

### Step 2: Combine like terms

Now, combine the terms with \(h\):

\[
-20h + 16h - 28 = 40
\]

This simplifies to:

\[
-4h - 28 = 40
\]

### Step 3: Isolate \(h\)

Next, add \(28\) to both sides of the equation to isolate the terms with \(h\):

\[
-4h = 40 + 28
\]

This simplifies to:

\[
-4h = 68
\]

### Step 4: Solve for \(h\)

Now, divide both sides by \(-4\):

\[
h = \frac{68}{-4}
\]

This simplifies to:

\[
h = -17
\]

### Final Answer

The value of \(h\) is \(\boxed{-17}\).