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Tpy6a [65]
3 years ago
13

4n -6 = 10n Simplify.

Mathematics
2 answers:
pentagon [3]3 years ago
8 0

-----------------------------------------------------------------------------------------------------------------

<em>Answer: </em><u>n = -1</u>

-----------------------------------------------------------------------------------------------------------------

add 6 to both sides of the equation.

4n − 6 = 10n

4n − 6 + 6 = 10n + 6

-----------------------------------------------------------------------------------------------------------------

simplify.

<em>(add the numbers)</em>

4n − 6 + 6 = 10n + 6

4n = 10n + 6

4n = 10n + 6

-----------------------------------------------------------------------------------------------------------------

subtract 10n from both sides.

4n − 10n = 10n + 6 − 10n

-----------------------------------------------------------------------------------------------------------------

simplify. (again)

<em>(combine like terms)                                          (combine like terms)</em>

4n − 10n = 10n + 6 − 10n<em>                                 </em>   −6n = 10n + 6 − 10n

−6n = 6

-----------------------------------------------------------------------------------------------------------------

divide both sides by the same term.

−6n/−6 = 6/-6

n = 6/−6n = 6/−6

-----------------------------------------------------------------------------------------------------------------

simplify. <em>(again)</em>

<em></em>

<em>(cancel terms that are in both the numerator and denominator)</em>

<em />

n = 6/−6

<em>(divide the numbers)</em>

<em />

n = 6/−6

<u>n = 1</u>

-----------------------------------------------------------------------------------------------------------------

ruslelena [56]3 years ago
6 0

Answer:

n= -1

Step-by-step explanation:

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