Answer:
p = 6
Explanation:
Simplifying
6p + 13 = 9p + -5
Reorder the terms
13 + 6p = 9p + -5
Reorder the terms
13 + 6p = -5 + 9p
Solving
13 + 6p = -5 + 9p
Solving for variable p
Move all terms containing p to the left, all other terms to the right.
Add -9p to each side of the equation.
13 + 6p + -9p = -5 + 9p + -9p
Combine like terms: 6p + -9p = -3p
13 + -3p = -5 + 9p + -9p
Combine like terms: 9p + -9p = 0
13 + -3p = -5 + 0
13 + -3p = -5
Add '-13' to each side of the equation.
13 + -13 + -3p = -5 + -13
Combine like terms: 13 + -13 = 0
0 + -3p = -5 + -13
-3p = -5 + -13
Combine like terms: -5 + -13 = -18
-3p = -18
Divide each side by -3
p = 6
Simplifying
p = 6