4p+6=5p+6+3p+16

Solution for 4p+6=5p+6+3p+16 equation:

Simplifying
4p + 6 = 5p + 6 + 3p + 16

Reorder the terms:
6 + 4p = 5p + 6 + 3p + 16

Reorder the terms:
6 + 4p = 6 + 16 + 5p + 3p

Combine like terms: 6 + 16 = 22
6 + 4p = 22 + 5p + 3p

Combine like terms: 5p + 3p = 8p
6 + 4p = 22 + 8p

Solving
6 + 4p = 22 + 8p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-8p' to each side of the equation.
6 + 4p + -8p = 22 + 8p + -8p

Combine like terms: 4p + -8p = -4p
6 + -4p = 22 + 8p + -8p

Combine like terms: 8p + -8p = 0
6 + -4p = 22 + 0
6 + -4p = 22

Add '-6' to each side of the equation.
6 + -6 + -4p = 22 + -6

Combine like terms: 6 + -6 = 0
0 + -4p = 22 + -6
-4p = 22 + -6

Combine like terms: 22 + -6 = 16
-4p = 16

Divide each side by '-4'.
p = -4

Simplifying
p = -4