3(1+5p)-6=30+4p

Solution for 3(1+5p)-6=30+4p equation:

Simplifying
3(1 + 5p) + -6 = 30 + 4p
(1 * 3 + 5p * 3) + -6 = 30 + 4p
(3 + 15p) + -6 = 30 + 4p

Reorder the terms:
3 + -6 + 15p = 30 + 4p

Combine like terms: 3 + -6 = -3
-3 + 15p = 30 + 4p

Solving
-3 + 15p = 30 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-3 + 15p + -4p = 30 + 4p + -4p

Combine like terms: 15p + -4p = 11p
-3 + 11p = 30 + 4p + -4p

Combine like terms: 4p + -4p = 0
-3 + 11p = 30 + 0
-3 + 11p = 30

Add '3' to each side of the equation.
-3 + 3 + 11p = 30 + 3

Combine like terms: -3 + 3 = 0
0 + 11p = 30 + 3
11p = 30 + 3

Combine like terms: 30 + 3 = 33
11p = 33

Divide each side by '11'.
p = 3

Simplifying
p = 3