Question

How do you solve 1/3h-4(2/3h-3)=2/3h-6?please show how you found the answer.

Answer 1

h=6

Explanation:

Answer 2

`(1)/(3) h-4( (2)/(3) h-3)= (2)/(3) h-6`

First, in the parentheses, combine the numerator (2) and 'h' and also beside it.

`(1)/(3) h-4( (2h)/(3) -3)= (2h)/(3) -6`
Second, since 'h' is basically '1', replace the '1' with 'h' to remove it.

`(h)/(3) -4( (2h)/(3) -3)= (2h)/(3) -6`
Third, multiply both sides by '3'.

`h - 12( (2h)/(3) -3)=2h - 18`
Fourth, expand it to remove the parentheses.

`h - 8h + 36 = 2h - 18`
Fifth, subtract 'h - 8h' to get '-7h'.

`-7h + 36 = 2h - 18`
Sixth, add ' 7h' to both sides.

`36 = 2h - 18 + 7h`
Seventh, leave the '7h' and combine '2h + 7h' to get '9h'.

`36 = 9h - 18`
Eighth, add '18' to both sides.

`36 + 18 = 9h`
Ninth, add '36 + 18' to get '54'.

`54 = 9h`
Tenth, divide both sides by '9'.

`(54)/(9) = h`
Eleventh, since 9 × 6 = 54, simplify the fraction to '6' and flip it around.

`h = 6`

Answer: h = 6