please help I have no clue how to do this
b-9+6b =30
b-9+6b =30
5b -9 = 30
5b -9 +9 =30+9
5b = 39
5b/5 = 39/5
b = 39/5
b-9+6b =30
Combine like terms.
7b - 9 = 30
Add 9 to both sides.
7b = 39
Divide both sides by 7.
b = 5.5714
Oop
7b = 39
7b/7 = 39/7
b = 39/7
To solve this equation, we need to isolate the variable b. Here's a step-by-step guide on how to do it:
Step 1: Combine Like Terms
In the equation, we have two terms involving b: -9 and 6b. We can combine these by adding them together:
-9 + 6b = 30
Step 2: Move Constant Terms
We want to isolate the terms with the variable b, so let's move the constant term (30) to the opposite side of the equation. Since it is positive, we'll subtract it from both sides:
-9 + 6b - 30 = 30 - 30
-9 + 6b - 30 = 0
This simplifies to:
6b - 39 = 0
Step 3: Solve for b
Now that the equation is simplified, we can solve for b by isolating it on one side. To do this, we'll move the constant term (-39) to the opposite side of the equation. Since it is negative, we'll add it to both sides:
6b - 39 + 39 = 0 + 39
6b - 39 + 39 = 39
This simplifies to:
6b = 39
Step 4: Divide by Coefficient
To isolate b, divide both sides of the equation by the coefficient (6) in front of b:
6b/6 = 39/6
This simplifies to:
b = 39/6
Step 5: Simplify the Solution
Divide 39 by 6 to get the final value of b:
b = 6.5
So, the solution to the equation b - 9 + 6b = 30 is b = 6.5.