9-(p+3)=3(p-2)+6

Solution for 9-(p+3)=3(p-2)+6 equation:

Simplifying
9 + -1(p + 3) = 3(p + -2) + 6

Reorder the terms:
9 + -1(3 + p) = 3(p + -2) + 6
9 + (3 * -1 + p * -1) = 3(p + -2) + 6
9 + (-3 + -1p) = 3(p + -2) + 6

Combine like terms: 9 + -3 = 6
6 + -1p = 3(p + -2) + 6

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

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

Combine like terms: -6 + 6 = 0
6 + -1p = 0 + 3p
6 + -1p = 3p

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

Combine like terms: -1p + -3p = -4p
6 + -4p = 3p + -3p

Combine like terms: 3p + -3p = 0
6 + -4p = 0

Add '-6' to each side of the equation.
6 + -6 + -4p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4p = 0 + -6
-4p = 0 + -6

Combine like terms: 0 + -6 = -6
-4p = -6

Divide each side by '-4'.
p = 1.5

Simplifying
p = 1.5