Question

\\16 - 2t = 5t + 9\\

Explanation:

🆕 New Concept Discovered: Solving Multi-Step Equations
Move variables to one side and constants to the other.

Step 1: Group the variable terms

To solve for \(t\), we want to get all the terms with \(t\) on one side of the equation. We can add \(2t\) to both sides of the equation to eliminate the negative term on the left.

$$ 16 - 2t + 2t = 5t + 9 + 2t $$

$$ 16 = 7t + 9 $$

Step 2: Isolate the variable term

Next, we want to get the term with the variable, \(7t\), by itself. We do this by subtracting \(9\) from both sides of the equation.

$$ 16 - 9 = 7t + 9 - 9 $$

$$ 7 = 7t $$

Step 3: Solve for t

To find the value of \(t\), divide both sides of the equation by \(7\).

$$ \frac{7}{7} = \frac{7t}{7} $$

$$ 1 = t $$

Answer:

\(t = 1\)