3(4p+1)-3=(6+2p)

Solution for 3(4p+1)-3=(6+2p) equation:

Simplifying
3(4p + 1) + -3 = (6 + 2p)

Reorder the terms:
3(1 + 4p) + -3 = (6 + 2p)
(1 * 3 + 4p * 3) + -3 = (6 + 2p)
(3 + 12p) + -3 = (6 + 2p)

Reorder the terms:
3 + -3 + 12p = (6 + 2p)

Combine like terms: 3 + -3 = 0
0 + 12p = (6 + 2p)
12p = (6 + 2p)

Remove parenthesis around (6 + 2p)
12p = 6 + 2p

Solving
12p = 6 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
12p + -2p = 6 + 2p + -2p

Combine like terms: 12p + -2p = 10p
10p = 6 + 2p + -2p

Combine like terms: 2p + -2p = 0
10p = 6 + 0
10p = 6

Divide each side by '10'.
p = 0.6

Simplifying
p = 0.6