Answer:
b = - 18
Step-by-step explanation:
- Here we are given the equation
6 + b/2 = - 3
and asked to solve for b
- If we isolate b to one side of the equation, the answer shows itself
- By isolating b, in this particular equation, is to make one side of the equation only b and the other side constants and expressions involving constants
- Let's subtract 6 from both sides:
-6 + 6 + b/ 2 = -6 - 3
- Simplify left side: -6 + 6 = 0 and we get left side as 0 + b/2 which is b/2 ==> Left side is b/2
- Simplify right side: -6 - 3
- Adding two negative numbers is the same as adding their positive values and placing a negative sign at the beginning
giving right side as
-6 - 3 = -(6 + 3) = -9
- We end up with
left side = right side
b/2 = - 9
- Now, let's multiply both left and right sides by 2
2 * b/2 = 2 * -9
On the left side the 2 on the numerator and the 2 on the denominator cancel out giving
2 * b/2 = - 18
b = - 18
And there we have it!
