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
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
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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)