-5(4+6p)+6(6+3p)=-4p-6p

Solution for -5(4+6p)+6(6+3p)=-4p-6p equation:

Simplifying
-5(4 + 6p) + 6(6 + 3p) = -4p + -6p
(4 * -5 + 6p * -5) + 6(6 + 3p) = -4p + -6p
(-20 + -30p) + 6(6 + 3p) = -4p + -6p
-20 + -30p + (6 * 6 + 3p * 6) = -4p + -6p
-20 + -30p + (36 + 18p) = -4p + -6p

Reorder the terms:
-20 + 36 + -30p + 18p = -4p + -6p

Combine like terms: -20 + 36 = 16
16 + -30p + 18p = -4p + -6p

Combine like terms: -30p + 18p = -12p
16 + -12p = -4p + -6p

Combine like terms: -4p + -6p = -10p
16 + -12p = -10p

Solving
16 + -12p = -10p

Solving for variable 'p'.

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

Add '10p' to each side of the equation.
16 + -12p + 10p = -10p + 10p

Combine like terms: -12p + 10p = -2p
16 + -2p = -10p + 10p

Combine like terms: -10p + 10p = 0
16 + -2p = 0

Add '-16' to each side of the equation.
16 + -16 + -2p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -2p = 0 + -16
-2p = 0 + -16

Combine like terms: 0 + -16 = -16
-2p = -16

Divide each side by '-2'.
p = 8

Simplifying
p = 8