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now that you have all the variables on the right, you can start thinkin…

Question

now that you have all the variables on the right, you can start thinking about how to make sure all the constant numbers are only on one side. what move can you make to get rid of the 8 on the right, so that 5h is alone on the right side, while keeping the equation balanced?
\frac{1}{5}(15h - 10) = 8h + 8
3h - 2 = 8h + 8

  • 3h = - 3h

-2 = 5h + 8
divide both sides by 8
add 8 to both sides of the equation
subtract 8 from both sides of the equation

Explanation:

Step1: Identify target equation

We start with $-2 = 5h + 8$

Step2: Isolate the variable term

Subtract 8 from both sides to eliminate the constant on the right.
$-2 - 8 = 5h + 8 - 8$

Step3: Simplify both sides

Calculate the left-hand side and simplify the right-hand side.
$-10 = 5h$

Step4: Solve for h

Divide both sides by 5 to isolate h.
$\frac{-10}{5} = \frac{5h}{5}$

Answer:

To get $5h$ alone on the right, Subtract 8 from both sides of the equation, and the final solution for $h$ is $-2$.