Question

i am having trouble solving this:
10(3 + 3n) = 9 + 9n

Answer 1

The final answer is n=-1

Answer 2

Step-by-step explanation:

Simplifying

10(3 + 3n) = 9 + 9n

(3 * 10 + 3n * 10) = 9 + 9n

(30 + 30n) = 9 + 9n

Solving

30 + 30n = 9 + 9n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

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

30 + 30n + -9n = 9 + 9n + -9n

Combine like terms: 30n + -9n = 21n

30 + 21n = 9 + 9n + -9n

Combine like terms: 9n + -9n = 0

30 + 21n = 9 + 0

30 + 21n = 9

Add '-30' to each side of the equation.

30 + -30 + 21n = 9 + -30

Combine like terms: 30 + -30 = 0

0 + 21n = 9 + -30

21n = 9 + -30

Combine like terms: 9 + -30 = -21

21n = -21

Divide each side by '21'.

n = -1

Simplifying

n = -1