Question
Use the distributive property to help you solve the equation.
negative 3(tplus3)equals3
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Part 1
tequals
enter your response here
negative 3(tplus3)equals3
Question content area bottom
Part 1
tequals
enter your response here
Answers
Answered by
GPT-4o mini
To solve the equation \(-3(t + 3) = 3\) using the distributive property, follow these steps:
1. **Distribute** \(-3\) to both terms inside the parentheses:
\[
-3(t) - 3(3) = 3
\]
This simplifies to:
\[
-3t - 9 = 3
\]
2. **Isolate \(t\)** by first adding \(9\) to both sides of the equation:
\[
-3t - 9 + 9 = 3 + 9
\]
Simplifying this gives:
\[
-3t = 12
\]
3. **Divide** both sides by \(-3\) to solve for \(t\):
\[
t = \frac{12}{-3}
\]
Simplifying this gives:
\[
t = -4
\]
So, the solution is:
\[
t = -4
\]
1. **Distribute** \(-3\) to both terms inside the parentheses:
\[
-3(t) - 3(3) = 3
\]
This simplifies to:
\[
-3t - 9 = 3
\]
2. **Isolate \(t\)** by first adding \(9\) to both sides of the equation:
\[
-3t - 9 + 9 = 3 + 9
\]
Simplifying this gives:
\[
-3t = 12
\]
3. **Divide** both sides by \(-3\) to solve for \(t\):
\[
t = \frac{12}{-3}
\]
Simplifying this gives:
\[
t = -4
\]
So, the solution is:
\[
t = -4
\]