Solve the equation.
--9b + 9 + 7b = -3b + 14
A)14
B)-9
C)5
D)-14

Question

Quizplus · Accepted Answer

To solve this equation, we need to simplify both sides by combining like terms.

Starting with the left side: 
-9b + 9 + 7b  becomes -2b + 9

Now we have: 
-2b + 9 = -3b + 14

To isolate the variable (b) on one side, we need to move the -3b term to the left side by adding it to both sides:
-2b + 9 + 3b = 14

Now simplify by combining like terms:
b + 9 = 14

Finally, solve for b by subtracting 9 from both sides:
b = 5

Therefore, the answer is C. Combining like terms on both sides of the equation, we get:
-9b + 9 + 7b = -3b + 14
-2b + 9 = -3b + 14
Adding 2b to both sides, we get:
9 = b + 14
Subtracting 14 from both sides, we get:
-5 = b
Therefore, the solution to the equation is b = -5, which corresponds to choice C.

Solve the Equation. --9b + 9 + 7b = -3b + 14