12(p-2 1/3)=-8
12(p) - 12(2 1/3) = -8
...
OR,
P - 2 1/3 = -8/12 = -2/3
...
To solve the equation 12(p - 2 1/3) = -8, we need to simplify it step by step. Here's how:
Step 1: Distribute the 12 to the terms inside the parentheses:
12p - 12 * 2 1/3 = -8
Step 2: Calculate the value of 12 * 2 1/3. Remember that 2 1/3 can be written as an improper fraction, which is (7/3).
12p - 12 * (7/3) = -8
Step 3: Simplify the expression by multiplying 12 and (7/3):
12p - (84/3) = -8
Step 4: Simplify 84/3, which is equal to 28:
12p - 28 = -8
Step 5: Move -28 to the other side of the equation by adding 28 to both sides:
12p - 28 + 28 = -8 + 28
Simplifying further:
12p = 20
Step 6: Isolate p by dividing both sides by 12:
12p/12 = 20/12
Simplifying further:
p = 5/3
So, the solution to the equation 12(p - 2 1/3) = -8 is p = 5/3.