Question

Question content area top
Part 1
Solve the equation.
negative 6 b plus 8 equals negative 7 plus 5 b minus 9 b
Question content area bottom
Part 1
A.StartFraction 15 Over 2 EndFraction
StartFraction 15 Over 2 EndFraction

B.one eighth
one eighth
C.two fifteenths
two fifteenths

D.negative two fifteenths
negative two fifteenths

Answer 1

To solve the equation \( -6b + 8 = -7 + 5b - 9b \), let's start by simplifying each side.

On the right, combine like terms:
\[
5b - 9b = -4b
\]
Thus, rewriting the equation gives us:
\[
-6b + 8 = -7 - 4b
\]

Next, we want to get all the \( b \) terms on one side and constant terms on the other side. We can add \( 4b \) to both sides:
\[
-6b + 4b + 8 = -7
\]
This simplifies to:
\[
-2b + 8 = -7
\]

Now, subtract \( 8 \) from both sides:
\[
-2b = -7 - 8
\]
\[
-2b = -15
\]

Next, we divide by \( -2 \):
\[
b = \frac{-15}{-2} = \frac{15}{2}
\]

Thus, the solution is:
\[
b = \frac{15}{2}
\]

So the answer is \( \text{A. } \frac{15}{2} \).