-3(5p+4)-2(2-14)p=3(6+4p)

Solution for -3(5p+4)-2(2-14)p=3(6+4p) equation:

Simplifying
-3(5p + 4) + -2(2 + -14) * p = 3(6 + 4p)

Reorder the terms:
-3(4 + 5p) + -2(2 + -14) * p = 3(6 + 4p)
(4 * -3 + 5p * -3) + -2(2 + -14) * p = 3(6 + 4p)
(-12 + -15p) + -2(2 + -14) * p = 3(6 + 4p)

Combine like terms: 2 + -14 = -12
-12 + -15p + -2(-12) * p = 3(6 + 4p)

Multiply -2 * -12
-12 + -15p + 24p = 3(6 + 4p)

Combine like terms: -15p + 24p = 9p
-12 + 9p = 3(6 + 4p)
-12 + 9p = (6 * 3 + 4p * 3)
-12 + 9p = (18 + 12p)

Solving
-12 + 9p = 18 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-12 + 9p + -12p = 18 + 12p + -12p

Combine like terms: 9p + -12p = -3p
-12 + -3p = 18 + 12p + -12p

Combine like terms: 12p + -12p = 0
-12 + -3p = 18 + 0
-12 + -3p = 18

Add '12' to each side of the equation.
-12 + 12 + -3p = 18 + 12

Combine like terms: -12 + 12 = 0
0 + -3p = 18 + 12
-3p = 18 + 12

Combine like terms: 18 + 12 = 30
-3p = 30

Divide each side by '-3'.
p = -10

Simplifying
p = -10