We have the equation:

\[
16 - 2t = \frac{3}{2}t + 9
\]

Let's solve this step by step.

### Step 1: Eliminate the fractions
Multiply through by 2 to eliminate the fraction:

\[
2(16 - 2t) = 2\left(\frac{3}{2}t + 9\right)
\]

This simplifies to:

\[
32 - 4t = 3t + 18
\]

### Step 2: Move variables to one side
Move all the \( t \)-terms to one side and the constants to the other:

\[
32 - 18 = 3t + 4t
\]

Simplify:

\[
14 = 7t
\]

### Step 3: Solve for \( t \)
Divide both sides by 7:

\[
t = 2
\]

### Final Answer
The solution is:

\[
t = 2
\]

Would you like more details, or do you have any questions?

Here are 5 related questions for further practice:
1. Solve \( 5x - 7 = \frac{2}{3}x + 12 \).
2. Solve \( 10 - 4y = \frac{5}{2}y + 6 \).
3. Solve \( 8 - 3z = \frac{4}{5}z + 10 \).
4. Solve \( 20 - 2a = \frac{1}{4}a + 8 \).
5. Solve \( 15 - 5b = \frac{7}{3}b + 3 \).

**Tip:** Always eliminate fractions early by multiplying through by the least common denominator (LCD).

Learn how to solve the equation 16 - 2t = (3/2)t + 9 with a detailed step-by-step solution. This problem covers linear equations and fractions, providing a clear explanation suitable for students in Grades 7-9.

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