Questions: -8k-5=8k-149

Transcript text: -8k-5=8k-149

Solution

Solution Steps

To solve the equation \(-8k - 5 = 8k - 149\), we need to isolate the variable \(k\). This involves moving all terms containing \(k\) to one side of the equation and the constant terms to the other side. Then, we can solve for \(k\).

Step 1: Combine Like Terms

First, we combine like terms by moving all terms containing \(k\) to one side of the equation and the constant terms to the other side. Starting with the equation: \[ -8k - 5 = 8k - 149 \] we add \(8k\) to both sides: \[ -5 = 16k - 149 \]

Step 2: Isolate the Variable

Next, we isolate the variable \(k\) by moving the constant term \(-149\) to the other side. We do this by adding 149 to both sides: \[ -5 + 149 = 16k \] which simplifies to: \[ 144 = 16k \]

Step 3: Solve for \(k\)

Finally, we solve for \(k\) by dividing both sides by 16: \[ k = \frac{144}{16} \] which simplifies to: \[ k = 9 \]