Question

For each step, choose the reason that best justifies it.

Answer 1

3(4u - 2) = -30: Given equation

Step 1:

12u - 6 = -30: Distributive property

Step-by-step explanation:

`\begin{gathered} 3(4u-2)=-30 \\ 3\cdot4u-3\cdot2=-30 \\ 12u-6=-30 \end{gathered}`

Step 2:

12u -6 + 6 = -30 + 6: Addition property of Equality

Explanation: This step is required to eliminate the term -6 from the left side.

Step 3:

12u = -24: Simplifying

Explanation: Here we just solved the arithmetic operations -6 + 6, on the left side, and -30 + 6, on the right side.

Step 4:

12u/12 = -24/12: Division property of the Equality

Explanation: This step is required to isolat the term u on the left side.

Step 5:

u = -2: Simplifying

Explanation: Here, we just sulvet the arithmetic operations 12/12, on the left side, and -24/12, on the right side.