63=3p+3(1+4p)

Solution for 63=3p+3(1+4p) equation:

Simplifying
63 = 3p + 3(1 + 4p)
63 = 3p + (1 * 3 + 4p * 3)
63 = 3p + (3 + 12p)

Reorder the terms:
63 = 3 + 3p + 12p

Combine like terms: 3p + 12p = 15p
63 = 3 + 15p

Solving
63 = 3 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
63 + -15p = 3 + 15p + -15p

Combine like terms: 15p + -15p = 0
63 + -15p = 3 + 0
63 + -15p = 3

Add '-63' to each side of the equation.
63 + -63 + -15p = 3 + -63

Combine like terms: 63 + -63 = 0
0 + -15p = 3 + -63
-15p = 3 + -63

Combine like terms: 3 + -63 = -60
-15p = -60

Divide each side by '-15'.
p = 4

Simplifying
p = 4