Subtract: (3g−4)−2(3g+4)

Question

(
3
𝑔
−
4
)
−
2
(
3
𝑔
+
4
)
.(1 point) ..

Answer 1

To simplify the expression \((3g−4)−2(3g+4)\), we can break it down step-by-step.

1. Distribute the \(-2\) to the terms inside the parentheses: \[ -2(3g + 4) = -2 \cdot 3g - 2 \cdot 4 = -6g - 8 \]

2. Now substitute this back into the original expression: \[ (3g - 4) - (6g + 8) \]

3. Combine like terms: \[ 3g - 4 - 6g - 8 \] Now, combine \(3g\) and \(-6g\): \[ (3g - 6g) = -3g \] And combine \(-4\) and \(-8\): \[ -4 - 8 = -12 \]

4. Putting it all together: \[ -3g - 12 \]

So, the final simplified result is: \[ -3g - 12 \]