4(p-6)+6(5+8p)=

Solution for 4(p-6)+6(5+8p)= equation:

Simplifying
4(p + -6) + 6(5 + 8p) = 0

Reorder the terms:
4(-6 + p) + 6(5 + 8p) = 0
(-6 * 4 + p * 4) + 6(5 + 8p) = 0
(-24 + 4p) + 6(5 + 8p) = 0
-24 + 4p + (5 * 6 + 8p * 6) = 0
-24 + 4p + (30 + 48p) = 0

Reorder the terms:
-24 + 30 + 4p + 48p = 0

Combine like terms: -24 + 30 = 6
6 + 4p + 48p = 0

Combine like terms: 4p + 48p = 52p
6 + 52p = 0

Solving
6 + 52p = 0

Solving for variable 'p'.

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

Add '-6' to each side of the equation.
6 + -6 + 52p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 52p = 0 + -6
52p = 0 + -6

Combine like terms: 0 + -6 = -6
52p = -6

Divide each side by '52'.
p = -0.1153846154

Simplifying
p = -0.1153846154