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

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

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

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

Multiply 3 * 4
12(2 + p) = 1 * 6 + -1 * 3(4 + -1p)
(2 * 12 + p * 12) = 1 * 6 + -1 * 3(4 + -1p)
(24 + 12p) = 1 * 6 + -1 * 3(4 + -1p)

Multiply 1 * 6
24 + 12p = 6 + -1 * 3(4 + -1p)

Multiply -1 * 3
24 + 12p = 6 + -3(4 + -1p)
24 + 12p = 6 + (4 * -3 + -1p * -3)
24 + 12p = 6 + (-12 + 3p)

Combine like terms: 6 + -12 = -6
24 + 12p = -6 + 3p

Solving
24 + 12p = -6 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
24 + 12p + -3p = -6 + 3p + -3p

Combine like terms: 12p + -3p = 9p
24 + 9p = -6 + 3p + -3p

Combine like terms: 3p + -3p = 0
24 + 9p = -6 + 0
24 + 9p = -6

Add '-24' to each side of the equation.
24 + -24 + 9p = -6 + -24

Combine like terms: 24 + -24 = 0
0 + 9p = -6 + -24
9p = -6 + -24

Combine like terms: -6 + -24 = -30
9p = -30

Divide each side by '9'.
p = -3.333333333

Simplifying
p = -3.333333333