Questions: Solve 2 / 3(9c-3)=22.

Solution Steps

To solve the equation \( \frac{2}{3}(9c - 3) = 22 \), we need to isolate the variable \( c \). Here are the high-level steps:

1. Distribute the \(\frac{2}{3}\) across the terms inside the parentheses.
2. Simplify the resulting equation.
3. Solve for \( c \) by isolating it on one side of the equation.

First, distribute the \(\frac{2}{3}\) across the terms inside the parentheses: \[ \frac{2}{3}(9c - 3) = 22 \] \[ \frac{2}{3} \cdot 9c - \frac{2}{3} \cdot 3 = 22 \] \[ 6c - 2 = 22 \]

Next, isolate the variable \(c\) by adding 2 to both sides of the equation: \[ 6c - 2 + 2 = 22 + 2 \] \[ 6c = 24 \]

Finally, solve for \(c\) by dividing both sides by 6: \[ c = \frac{24}{6} \] \[ c = 4 \]

Final Answer