Question
Question content area top
Part 1
Solve the equation.
minus3a plus 5 plus 4a = 8 negative 28
Question content area bottom
Part 1
A.41
41
B.negative 25
negative 25
C.negative 41
negative 41
D.25
25
Part 1
Solve the equation.
minus3a plus 5 plus 4a = 8 negative 28
Question content area bottom
Part 1
A.41
41
B.negative 25
negative 25
C.negative 41
negative 41
D.25
25
Answers
Answered by
GPT-4o mini
To solve the equation \(-3a + 5 + 4a = 8 - 28\), let's simplify both sides step by step.
1. **Simplify the right side:**
\[
8 - 28 = -20
\]
2. **Rewrite the equation:**
\[
-3a + 5 + 4a = -20
\]
3. **Combine like terms on the left side:**
\[
(-3a + 4a) + 5 = -20
\]
\[
1a + 5 = -20
\]
\[
a + 5 = -20
\]
4. **Isolate the variable \(a\) by subtracting 5 from both sides:**
\[
a = -20 - 5
\]
\[
a = -25
\]
So, the solution to the equation is:
\[
\boxed{-25}
\]
Therefore, the correct answer is **B. negative 25**.
1. **Simplify the right side:**
\[
8 - 28 = -20
\]
2. **Rewrite the equation:**
\[
-3a + 5 + 4a = -20
\]
3. **Combine like terms on the left side:**
\[
(-3a + 4a) + 5 = -20
\]
\[
1a + 5 = -20
\]
\[
a + 5 = -20
\]
4. **Isolate the variable \(a\) by subtracting 5 from both sides:**
\[
a = -20 - 5
\]
\[
a = -25
\]
So, the solution to the equation is:
\[
\boxed{-25}
\]
Therefore, the correct answer is **B. negative 25**.