Question

Which of the following options correctly represents the equation -6(7-4n)= -7n+20 after distributing and moving variables to both sides?

A) -42 + 24n = -7n + 20
B) -42 + 24n = -7n - 20
C) -42 - 24n = -7n + 20
D) -42 - 24n = -7n - 20

Answer 1

To represent the equation -6(7-4n)= -7n+20 after distributing and moving variables to both sides, the correct option is A) -42 + 24n = -7n + 20.

Step-by-step explanation:

To distribute -6 into the parentheses, multiply -6 by each term inside the parentheses.

-6(7-4n) = -6*7 + (-6)*(-4n)

-42 + 24n = -7n +20

Next, move the variables to one side and the constants to the other side by adding or subtracting them.

24n + 7n = 20 + 42

31n = 62

Finally, divide both sides of the equation by 31 to isolate the variable n.

n = 2