Solve the following equation:
​ 12(b+2)+3b=−1

​Enter your answer as a fraction.

Answers

Answer 1
Answer:

The solution to the equation 12(b+2) + 3b = -1 is b = -5/3.

What is the solution to the given equation?

Given the equation in the question:

12( b + 2 ) + 3b = -1

To solve the equation 12( b + 2 ) + 3b = -1, first apply the distributive property.

Distribute the 12 across the terms inside the parentheses:

12( b + 2 ) + 3b = -1

12×b + 12×2 + 3b = -1

Simplifying, we get:

12b + 24 + 3b = -1

Collect and combine the like terms on the left side of the equation:

12b + 3b + 24 = -1

15b + 24 = -1

Subtract 24 from both sides of the equation:

15b + 24 - 24 = -1 - 24

15b = -1 - 24

15b = -25

Divide both sides by 15:

b = -25/15

Simplify

b = -5/3

Therefore, the value of b is -5/3.

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Answer 2
Answer:

Answer: -5/3

Step-by-step explanation:

12(b + 2) + 3b = -1

12b + 24 + 3b = -1

15b + 24 = -1

15b = -1-24

b = -25/15 = -5/3


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