Questions: -18-6k=6(1+3k)

-18-6k=6(1+3k)
Transcript text: $-18-6 k=6(1+3 k)$
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Solution

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Solution Steps

To solve the equation \(-18 - 6k = 6(1 + 3k)\), we need to follow these steps:

  1. Distribute the 6 on the right-hand side.
  2. Combine like terms on both sides of the equation.
  3. Isolate the variable \(k\) by performing algebraic operations.
Step 1: Distribute the 6 on the right-hand side

Starting with the equation: \[ -18 - 6k = 6(1 + 3k) \] Distribute the 6 on the right-hand side: \[ -18 - 6k = 6 + 18k \]

Step 2: Combine like terms

Next, we combine like terms by moving all terms involving \(k\) to one side and constants to the other side: \[ -18 - 6k - 18k = 6 \] \[ -18 - 24k = 6 \]

Step 3: Isolate the variable \(k\)

To isolate \(k\), we first move the constant term to the other side: \[ -24k = 6 + 18 \] \[ -24k = 24 \] Then, divide both sides by -24: \[ k = \frac{24}{-24} \] \[ k = -1 \]

Final Answer

\(\boxed{k = -1}\)

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