6(5p-6)-6(6+3p)=48

Solution for 6(5p-6)-6(6+3p)=48 equation:

Simplifying
6(5p + -6) + -6(6 + 3p) = 48

Reorder the terms:
6(-6 + 5p) + -6(6 + 3p) = 48
(-6 * 6 + 5p * 6) + -6(6 + 3p) = 48
(-36 + 30p) + -6(6 + 3p) = 48
-36 + 30p + (6 * -6 + 3p * -6) = 48
-36 + 30p + (-36 + -18p) = 48

Reorder the terms:
-36 + -36 + 30p + -18p = 48

Combine like terms: -36 + -36 = -72
-72 + 30p + -18p = 48

Combine like terms: 30p + -18p = 12p
-72 + 12p = 48

Solving
-72 + 12p = 48

Solving for variable 'p'.

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

Add '72' to each side of the equation.
-72 + 72 + 12p = 48 + 72

Combine like terms: -72 + 72 = 0
0 + 12p = 48 + 72
12p = 48 + 72

Combine like terms: 48 + 72 = 120
12p = 120

Divide each side by '12'.
p = 10

Simplifying
p = 10