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solve the equation: 10 + 3k = 22 options: k=-10.6, k=-4, k=10.6, k=4

Question

solve the equation: 10 + 3k = 22 options: k=-10.6, k=-4, k=10.6, k=4

Explanation:

Step1: Subtract 10 from both sides

We start with the equation \(10 + 3k = 22\). To isolate the term with \(k\), we subtract 10 from both sides. This gives us \(10 + 3k - 10 = 22 - 10\), which simplifies to \(3k = 12\).

Step2: Divide both sides by 3

Now that we have \(3k = 12\), we divide both sides by 3 to solve for \(k\). So, \(\frac{3k}{3}=\frac{12}{3}\), which simplifies to \(k = 4\).

Answer:

\(k = 4\) (corresponding to the option with \(k = 4\))