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2(8n+2)=3(2n−7)
solve for N

User Joking
by
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1 Answer

3 votes

Answer: -2.5

Explanation:

To solve the equation 2(8n + 2) = 3(2n - 7) for n, we need to simplify both sides of the equation and isolate the variable n.

Let's start by distributing the numbers outside the parentheses:

16n + 4 = 6n - 21

Next, we want to get all the terms with n on one side of the equation and all the constants on the other side. To do this, we can subtract 6n from both sides:

16n - 6n + 4 = 6n - 6n - 21

Simplifying the equation further, we have:

10n + 4 = -21

To isolate the term with n, we subtract 4 from both sides:

10n + 4 - 4 = -21 - 4

Simplifying the equation:

10n = -25

Finally, to solve for n, we divide both sides by 10:

(10n)/10 = -25/10

Simplifying the equation:

n = -2.5

Therefore, the solution to the equation 2(8n + 2) = 3(2n - 7) is n = -2.5.

User Eran Levi
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7.6k points