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Natasha2012 [34]
3 years ago
6

Solve for k. 8k 2m = 3m k

Mathematics
1 answer:
Paha777 [63]3 years ago
3 0
<span>Simplifying 8k + 2m = 3m + k Reorder the terms: 8k + 2m = k + 3m Solving 8k + 2m = k + 3m Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 8k + -1k + 2m = k + -1k + 3m Combine like terms: 8k + -1k = 7k 7k + 2m = k + -1k + 3m Combine like terms: k + -1k = 0 7k + 2m = 0 + 3m 7k + 2m = 3m Add '-2m' to each side of the equation. 7k + 2m + -2m = 3m + -2m Combine like terms: 2m + -2m = 0 7k + 0 = 3m + -2m 7k = 3m + -2m Combine like terms: 3m + -2m = 1m 7k = 1m Divide each side by '7'. k = 0.1428571429m Simplifying k = 0.1428571429m</span>
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Answer:

The original number was 54.5.

Step-by-step explanation:

If a number is increased by 2.8%, then it is 102.8% of it's original number.

In mathematics, "of" in virtually all cases means "multiplied by".

Therefore, we do the opposite:

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