Question

Use the drop-down menus to choose steps in order to correctly solve 6n+9=−3n−21−6 for n.

Answer 1

6n + 9 = -3n + -21 + -6

Reorder the terms:

9 + 6n = -21 + -6 + -3n

Combine like terms: -21 + -6 = -27

9 + 6n = -27 + -3n

Solving

9 + 6n = -27 + -3

Add '3n' to each side of the equation.

9 + 6n + 3n = -27 + -3n + 3n

Combine like terms: 6n + 3n = 9n

9 + 9n = -27 + -3n + 3n

Combine like terms: -3n + 3n = 0

9 + 9n = -27 + 0

9 + 9n = -27

Add '-9' to each side of the equation.

9 + -9 + 9n = -27 + -9

Combine like terms: 9 + -9 = 0

0 + 9n = -27 + -9

9n = -27 + -9

Combine like terms: -27 + -9 = -36

9n = -36

Divide each side by '9'.

n = -4

Simplifying

n = -4