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 = -6
-6 + 3p = p + 1

Reorder the terms:
-6 + 3p = 1 + p

Solving
-6 + 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.
-6 + 3p + -1p = 1 + p + -1p

Combine like terms: 3p + -1p = 2p
-6 + 2p = 1 + p + -1p

Combine like terms: p + -1p = 0
-6 + 2p = 1 + 0
-6 + 2p = 1

Add '6' to each side of the equation.
-6 + 6 + 2p = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 2p = 1 + 6
2p = 1 + 6

Combine like terms: 1 + 6 = 7
2p = 7

Divide each side by '2'.
p = 3.5

Simplifying
p = 3.5