Questions: -6(3f+2k) use f=2 and k=4

Transcript text: $-6(3 f+2 k)$ use $f=2$ and $k=4$

Solution

Solution Steps

To solve the expression $-6(3f + 2k)$ given $f = 2$ and $k = 4$, we need to substitute the values of $f$ and $k$ into the expression and then perform the arithmetic operations.

Step 1: Substitute the given values into the expression

Given the expression $-6(3f + 2k)$ and the values $f = 2$ and $k = 4$, we substitute these values into the expression: \[ -6(3 \cdot 2 + 2 \cdot 4) \]

Step 2: Simplify inside the parentheses

First, calculate the values inside the parentheses: \[ 3 \cdot 2 = 6 \quad \text{and} \quad 2 \cdot 4 = 8 \] So the expression inside the parentheses becomes: \[ 6 + 8 \]

Step 3: Add the values inside the parentheses

Add the values inside the parentheses: \[ 6 + 8 = 14 \]

Step 4: Multiply by the coefficient outside the parentheses

Now, multiply the result by $-6$: \[ -6 \cdot 14 = -84 \]