Question

solve the equation $2h - 12 = 4$. how can you isolate the term $2h$? $2h - 12 = 4$? ? on both sides.

Explanation:

Step1: Isolate 2h by adding 12

To isolate the term \(2h\) in the equation \(2h - 12 = 4\), we use the addition property of equality. We add 12 to both sides of the equation.

$$ 2h - 12 + 12 = 4 + 12 $$

Step2: Simplify both sides

Simplifying the left - hand side, \(-12 + 12 = 0\), so we get \(2h\). Simplifying the right - hand side, \(4+12 = 16\), so the equation becomes \(2h=16\).

Step3: Solve for h (optional, but to complete the equation solution)

To solve for \(h\), we divide both sides of the equation \(2h = 16\) by 2.

$$ \frac{2h}{2}=\frac{16}{2} $$

$$ h = 8 $$

But for the question of isolating \(2h\), the operation is to add 12 to both sides.

Answer:

To isolate the term \(2h\) in the equation \(2h - 12=4\), we \(\boldsymbol{add}\) \(\boldsymbol{12}\) on both sides.