Question

solve for j.
2(12j - 12) = -6(-j - 2)
j =

Explanation:

Step1: Expand both sides

Using the distributive property \(a(b + c)=ab+ac\), we expand the left side: \(2\times12j - 2\times12 = 24j-24\).
For the right side: \(-6\times(-j)-6\times(-2)=6j + 12\).
So the equation becomes \(24j-24 = 6j + 12\).

Step2: Subtract \(6j\) from both sides

Subtract \(6j\) from each side to get: \(24j-6j-24=6j - 6j+ 12\), which simplifies to \(18j-24 = 12\).

Step3: Add 24 to both sides

Add 24 to both sides: \(18j-24 + 24=12 + 24\), so \(18j=36\).

Step4: Divide by 18

Divide both sides by 18: \(\frac{18j}{18}=\frac{36}{18}\), which gives \(j = 2\).

Answer:

\(2\)