Solve for b. 3(-3b + 10) = -6b – 10 + 5b b = ______________ Solve equations with the distributive property Solve two-step equations Solve equations with variables on both sides Lesson: Multi-step equations

To solve the equation (3(-3b + 10) = -6b – 10 + 5b), follow these steps:

1. Distribute on the left side:

[

3 cdot -3b + 3 cdot 10 = -9b + 30

]

So, the left side becomes (-9b + 30).

2. Combine like terms on the right side:

[

-6b + 5b – 10 = -b – 10

]

So, the right side becomes (-b – 10).

3. Now, rewrite the equation:

[

-9b + 30 = -b – 10

]

4. Get all (b) terms on one side and constants on the other:

Add (9b) to both sides:

[

30 = 8b – 10

]

Next, add (10) to both sides:

[

40 = 8b

]

5. Solve for (b):

Divide both sides by (8):

[

b = 5

]

Therefore, the solution is:

(b = 5)