How do you solve # 4(8n + 3) - 5 = 2(6n + 8) + 1 #?
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To solve the equation 4(8n + 3) - 5 = 2(6n + 8) + 1:
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Distribute the terms:
- Expand 4(8n + 3) to get 32n + 12.
- Expand 2(6n + 8) to get 12n + 16.
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Combine like terms:
- Rewrite the equation as 32n + 12 - 5 = 12n + 16 + 1.
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Simplify:
- Combine like terms on both sides of the equation to get 32n + 7 = 12n + 17.
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Move variables to one side and constants to the other side:
- Subtract 12n from both sides to get 20n + 7 = 17.
- Subtract 7 from both sides to get 20n = 10.
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Solve for n:
- Divide both sides by 20 to get n = 10/20.
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Simplify the fraction:
- Reduce 10/20 to get n = 1/2.
Therefore, the solution to the equation is n = 1/2.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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