Solve for p
11 - 2(8+3p) = 49
11 - 2(8+3p) = 49
-2(8+3p) = 38
-16-6p = 38
-6p = 54
p = -9
11 - 2(8+3p) = 49
11 - 16 - 6p = 49
-5 - 6p = 49
-6p = 54
p = 54/6
p = -9
To solve for p in the equation 11 - 2(8+3p) = 49, we need to perform a series of steps to isolate the variable p.
Step 1: Distribute the -2 to the terms inside parentheses:
11 - 16 - 6p = 49
Step 2: Combine like terms:
-5 - 6p = 49
Step 3: To isolate the variable p, we need to eliminate the constant term. To do this, we can add 5 to both sides of the equation:
-5 + 5 - 6p = 49 + 5
-6p = 54
Step 4: Divide both sides of the equation by -6 to solve for p:
-6p / -6 = 54 / -6
p = -9
Therefore, the solution to the equation 11 - 2(8+3p) = 49 is p = -9.