1/3h - 4(2/3h-3) = 2/3h -6 first distribute to take away the parenthesis 1/3h - 8/3h + 12 = 2/3h -6 there are different ways to go about this but i would multiply everything by 3h to just take away all those denominators, making it simpler to solve 1 - 8 +12(3h) = 2 - 6(3h) simplify -7 + 36h = 2- 18h simplify +7 +18h +7 +18h 54h = 9 /54 /54 h = 9/54 h = 1/6
To solve the equation 1/3h - 4(2/3h - 3) = 2/3h - 6, follow these steps:
Distribute the -4 across the terms inside the parenthesis: -4 × 2/3h + 4 × 3.
Combine like terms on both sides of the equation.
If necessary, simplify the equation by combining similar fractions.
Once all the h terms are on one side, solve for h.
Let's go through the steps:
1/3h - 4(2/3h) + 12 = 2/3h - 6
1/3h - 8/3h + 12 = 2/3h - 6
-7/3h + 12 = 2/3h - 6
Adding 7/3h to both sides gives: 12 = 9/3h - 6
After simplifying, we get 18 = 9/3h, which simplifies further to 18 = 3h
Divide both sides by 3 to get h = 6
After calculating, we find that the value of h is h = 6.
To solve 3 1 h − 4 ( 3 2 h − 3 ) = 3 2 h − 6 , distribute the terms, combine like terms, and isolate h to find h = 6 . After checking the solution, both sides of the equation match, confirming accuracy.
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