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.