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

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

Solution

Solution Steps

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

Distribute the 6 on the right-hand side.
Combine like terms on both sides of the equation.
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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Questions: -18-6k=6(1+3k)

Solution

Solution Steps

Final Answer

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