Question

solve for k.
4(1.4k + 5.1) = 2.3k - 9.3
k =

Explanation:

Step1: Distribute the 4

Multiply 4 with each term inside the parentheses: \(4\times1.4k + 4\times5.1 = 5.6k + 20.4\). So the equation becomes \(5.6k + 20.4 = 2.3k - 9.3\).

Step2: Subtract \(2.3k\) from both sides

To get all \(k\) terms on one side: \(5.6k - 2.3k + 20.4 = 2.3k - 2.3k - 9.3\), which simplifies to \(3.3k + 20.4 = -9.3\).

Step3: Subtract 20.4 from both sides

Isolate the \(k\) term: \(3.3k + 20.4 - 20.4 = -9.3 - 20.4\), so \(3.3k = -29.7\).

Step4: Divide by 3.3

Solve for \(k\) by dividing both sides by 3.3: \(k=\frac{-29.7}{3.3}=-9\).

Answer:

\(k = -9\)