Question

distribute and combine like terms: -4(3x-7)+12

Explanation:

Step1: Distribute -4

Multiply -4 with \(3x\) and \(-7\):
\(-4(3x - 7) = -4 \cdot 3x + (-4) \cdot (-7) = -12x + 28\)

Step2: Combine like terms

Add 12 to \(-12x + 28\):
\(-12x + 28 + 12 = -12x + (28 + 12) = -12x + 40\)

Answer:

-12x + 40 (corresponding to the option with "-12x + 40")