Question

3(h - 6) = 2(1 - h) solve for “h”

Answer 1

Answer: H=4

Explanation:

1. Distribute

3(h-6)=2(1-h)

3h-18=2(1-h)

2. Rearrange terms

3h-18=2(1-h)

3h-18=2(-h+1)

3. Distribute 3h-18=2(-h+1)

3h-18=-2h+2

4 Add 18 to both sides

3h-18 = -2h+2

3h=18+18=-2h+2+18

5. Simplify

Add the numbers

Add the numbers

3h=-2h+20

6. Add 2h to both sides

3h=-2h+20

3h+2h= -2h+20+2h

7. Combine like terms

5h=20

8. Divide both sides by the same factor

5h=20

5h/5=20/5

9. Simplify

Cancel terms that are in both the numerator and denominator

Divide the number

h=4

I hope this helped!

Answer 2

h = 4

Explanation:

Let's start by simplifying the left side of the equation:

3(h-6) is the same as 3 * whatever is in the parenthesis

So, 3(h-6) simplifies to 3h-18

Same thing with the equation on the right

So, 2(1-h) simplifies to 2-2h

Our final equation is 3h-18 = 2-2h:

Now we can add 2h to both sides of the equation in order to get h on only one side of the equation:

5h - 18 = 2

Now we can add 18 to both sides of the equation in order to further isolate the h variable:

5h = 20

Now we can divide both sides by 5 in order to completely isolate the h, giving us the answer to the problem:

h = 4