We are tasked with solving the equation:
\[
16 - 2t = 5t + 9
\]
Step-by-Step Solution:
1.
Isolate the variable terms on one side and the constant terms on the other side:
To do this, we will first move all terms involving \( t \) to one side of the equation and all constant terms to the other side.
Start by subtracting \( 5t \) from both sides:
\[
16 - 2t - 5t = 5t + 9 - 5t
\]
Simplifying both sides:
\[
16 - 7t = 9
\]
2.
Move the constant term to the other side:
Next, subtract 16 from both sides to isolate the term with \( t \):
\[
16 - 7t - 16 = 9 - 16
\]
Simplifying both sides:
\[
-7t = -7
\]
3.
Solve for \( t \):
Divide both sides by \(-7\) to isolate \( t \):
\[
\frac{-7t}{-7} = \frac{-7}{-7}
\]
Simplifying:
\[
t = 1
\]
Final Answer:
\[
\boxed{1}
\]
Verification:
To ensure the solution is correct, substitute \( t = 1 \) back into the original equation:
\[
16 - 2(1) = 5(1) + 9
\]
Simplify both sides:
\[
16 - 2 = 5 + 9
\]
\[
14 = 14
\]
The equation holds true, confirming that our solution is correct.
Thus, the final answer is:
\[
\boxed{1}
\]
Parent Tip: Review the logic above to help your child master the concept of algebra problems.
