Question

Solve the equation. then check your solution. 6 = negative 2 (10 n 7)

1) 1
2) 0.4
3) -1
4) 0.05

Answer 1

To solve the equation 6 = -2(10n-7), distribute -2, combine like terms, and solve for n. The solution is n = 0.4 and it checks out.

Step-by-step explanation:

To solve the equation 6 = -2(10n-7), we can start by distributing the -2 to the terms inside the parentheses:

6 = -20n + 14

Next, we can bring the like terms together:

20n = 14 - 6

20n = 8

Finally, we can divide both sides of the equation by 20 to solve for n:

n = 8/20

n = 0.4

To check the solution, we substitute n = 0.4 back into the original equation:

6 = -2(10(0.4) - 7)

6 = -2(4 - 7)

6 = -2(-3)

6 = 6

The solution n = 0.4 satisfies the equation, so it is the correct solution.