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

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

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

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

Combine like terms: 6 + 12 = 18
18 + 3p = p + 1

Reorder the terms:
18 + 3p = 1 + p

Solving
18 + 3p = 1 + p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
18 + 3p + -1p = 1 + p + -1p

Combine like terms: 3p + -1p = 2p
18 + 2p = 1 + p + -1p

Combine like terms: p + -1p = 0
18 + 2p = 1 + 0
18 + 2p = 1

Add '-18' to each side of the equation.
18 + -18 + 2p = 1 + -18

Combine like terms: 18 + -18 = 0
0 + 2p = 1 + -18
2p = 1 + -18

Combine like terms: 1 + -18 = -17
2p = -17

Divide each side by '2'.
p = -8.5

Simplifying
p = -8.5