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3.3-5.7n-3n+5

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User Robeson
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1 Answer

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Answer:

8.3 -8.7n

Explanation:

Maybe you want to simplify this expression.

First of all, recognize it is a sum of four terms. We use "sum" in the general sense, where the things being added can be positive or negative.

3.3

-5.7n

-3n

5

Two of these terms are regular decimal numbers: 3.3 and 5. They can be added together without any fuss: 3.3 +5 = 8.3.

The other two terms are products. One of the factors of the product is a constant, called the "coefficient" of the term. The other factor is the letter n, called a "variable".

You may recall that multiplication is a way to write repeated addition:

3×6 = 6 +6 +6

The factor 3 in this example tells you how many times 6 is included in the sum. We can combine such sums:

(3×6) + (2×6) = (6 +6 +6) +(6 +6) = (3+2)×6 = 5×6

If you replace 6 with n, the same thing is true:

3n +2n = (3+2)n = 5n

That is, we can combine terms containing n by adding their coefficients.

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Your simplification problem then can be written as ...

3.3 -5.7n -3n +5

= (3.3 +5) +(-5.7n -3n) . . . . . . "like" terms are grouped together

= 8.3 +(-5.7-3)n

= 8.3 -8.7n

User Foson
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