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

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

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

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

Reorder the terms:
3 + 3p = -2p + 4(4 + p)
3 + 3p = -2p + (4 * 4 + p * 4)
3 + 3p = -2p + (16 + 4p)

Reorder the terms:
3 + 3p = 16 + -2p + 4p

Combine like terms: -2p + 4p = 2p
3 + 3p = 16 + 2p

Solving
3 + 3p = 16 + 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.
3 + 3p + -2p = 16 + 2p + -2p

Combine like terms: 3p + -2p = 1p
3 + 1p = 16 + 2p + -2p

Combine like terms: 2p + -2p = 0
3 + 1p = 16 + 0
3 + 1p = 16

Add '-3' to each side of the equation.
3 + -3 + 1p = 16 + -3

Combine like terms: 3 + -3 = 0
0 + 1p = 16 + -3
1p = 16 + -3

Combine like terms: 16 + -3 = 13
1p = 13

Divide each side by '1'.
p = 13

Simplifying
p = 13