# can any one solve this one? 9-3(n-5)=30?

Update:

can any one tell me if the answers 18?

Relevance

step 1) expand the brackets

9 - [3 * (n - 5)] = 30

9 - [(3 * n) - (3 * 5)] = 30

9 - [ 3n - 15 ] = 30

a minus add a minus is a plus and so we get

9 - 3n - - 15 = 30

9 + 15 - 3n = 30

24 - 3n = 30

step 2) rearrange to find n and solve

get the n's by themselves by adding 3n to each side

and taking away 30

24 - 3n + 3n = 30 + 3n

24 = 30 + 3n

24 - 30 = 3n

-6 = 3n

divide each side by 3 to get n on its own

(-6/3) = (3n/3)

-2 = n

so this is the answer: n = -2

we can check that this answer is right by putting it back into the equation

9 - [3 * (n - 5)] = 30

9 - [3 * ((-2) - 5)] = 30

9 - [3 * (-7)] = 30

9 - [-21] = 30

as a minus add a minus equals a plus, we get

9 + 21 = 30

30 = 30 [ this is correct so we can be sure that n = -2 ]

• The answer is -2. 9-3n+15=30. Subtract 15 from each side: 9-3n=15. Then subtract 9: -3n=6. Divide by -3. n=-2.

• 9-3(n-5)=30

Distribute the -3 to (n-5)

9-3n+15=30

Combine the 9 and 15

-3n + 24=30

Subtract 24 from both sides

-3n = 6

Divide by -3

n=-2