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-4(5h+7) + 16h =40

what's the H and show me the steps

1 answer

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 \(\boxed{-17}\).