Question

solve for j.
-20j + 6j + 18j - 9j + 17 = -3
j =
save answer

Explanation:

Step1: Combine like terms for \( j \)

First, we combine the terms with \( j \): \(-20j + 6j + 18j - 9j\). Let's calculate the coefficients: \(-20 + 6 + 18 - 9\).
\(-20 + 6 = -14\), \(-14 + 18 = 4\), \(4 - 9 = -5\). So the left side becomes \(-5j + 17\).

Step2: Solve for \( j \)

Now our equation is \(-5j + 17 = -3\). Subtract 17 from both sides: \(-5j + 17 - 17 = -3 - 17\), which simplifies to \(-5j = -20\). Then divide both sides by \(-5\): \(\frac{-5j}{-5} = \frac{-20}{-5}\), so \(j = 4\).

Answer:

\( j = 4 \)