-5.1(4p+6)-2.4(2p-4)=

Solution for -5.1(4p+6)-2.4(2p-4)= equation:

Simplifying
-5.1(4p + 6) + -2.4(2p + -4) = 0

Reorder the terms:
-5.1(6 + 4p) + -2.4(2p + -4) = 0
(6 * -5.1 + 4p * -5.1) + -2.4(2p + -4) = 0
(-30.6 + -20.4p) + -2.4(2p + -4) = 0

Reorder the terms:
-30.6 + -20.4p + -2.4(-4 + 2p) = 0
-30.6 + -20.4p + (-4 * -2.4 + 2p * -2.4) = 0
-30.6 + -20.4p + (9.6 + -4.8p) = 0

Reorder the terms:
-30.6 + 9.6 + -20.4p + -4.8p = 0

Combine like terms: -30.6 + 9.6 = -21
-21 + -20.4p + -4.8p = 0

Combine like terms: -20.4p + -4.8p = -25.2p
-21 + -25.2p = 0

Solving
-21 + -25.2p = 0

Solving for variable 'p'.

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

Add '21' to each side of the equation.
-21 + 21 + -25.2p = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -25.2p = 0 + 21
-25.2p = 0 + 21

Combine like terms: 0 + 21 = 21
-25.2p = 21

Divide each side by '-25.2'.
p = -0.8333333333

Simplifying
p = -0.8333333333