Math

Question Solve for the value of pp given the equation 2(p+1)=162(p+1)=16.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation 2(p+1)=162(p+1)=16.
2. We need to solve for the variable pp.

STEP 2

First, we need to distribute the 2 across the parentheses to eliminate the parentheses.
2(p+1)=2p+22(p+1) = 2p + 2

STEP 3

Now we rewrite the equation with the distributed terms.
2p+2=162p + 2 = 16

STEP 4

Next, we need to isolate the term containing pp by subtracting 2 from both sides of the equation.
2p+22=1622p + 2 - 2 = 16 - 2

STEP 5

Simplify both sides of the equation.
2p=142p = 14

STEP 6

Now, to solve for pp, we need to divide both sides of the equation by 2.
2p2=142\frac{2p}{2} = \frac{14}{2}

STEP 7

Simplify the equation to find the value of pp.
p=7p = 7
The solution for pp is 7.

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