Question

order equivalent equations of 3(p - 4)=6p to solve for p. 3p - 12 = 6p, -\frac{4}{3}=p, 3p - 4 = 6p, -12 = 3p, -4 = p, -4 = 3p

Explanation:

Step1: Expand the left - hand side

Use the distributive property \(a(b - c)=ab - ac\). So, \(3(p - 4)=3p-12\), and the equation becomes \(3p - 12 = 6p\).

Step2: Isolate the terms with \(p\)

Subtract \(3p\) from both sides of the equation \(3p - 12 = 6p\). We get \(-12=6p - 3p\), which simplifies to \(-12 = 3p\).

Step3: Solve for \(p\)

Divide both sides of the equation \(-12 = 3p\) by 3. So, \(p=\frac{-12}{3}=-4\).

Answer:

Step 1: \(3p - 12 = 6p\)
Step 2: \(-12 = 3p\)
Step 3: \(-4 = p\)