-4(2p+4)-34=3(3p+6)

Solution for -4(2p+4)-34=3(3p+6) equation:

Simplifying
-4(2p + 4) + -34 = 3(3p + 6)

Reorder the terms:
-4(4 + 2p) + -34 = 3(3p + 6)
(4 * -4 + 2p * -4) + -34 = 3(3p + 6)
(-16 + -8p) + -34 = 3(3p + 6)

Reorder the terms:
-16 + -34 + -8p = 3(3p + 6)

Combine like terms: -16 + -34 = -50
-50 + -8p = 3(3p + 6)

Reorder the terms:
-50 + -8p = 3(6 + 3p)
-50 + -8p = (6 * 3 + 3p * 3)
-50 + -8p = (18 + 9p)

Solving
-50 + -8p = 18 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-50 + -8p + -9p = 18 + 9p + -9p

Combine like terms: -8p + -9p = -17p
-50 + -17p = 18 + 9p + -9p

Combine like terms: 9p + -9p = 0
-50 + -17p = 18 + 0
-50 + -17p = 18

Add '50' to each side of the equation.
-50 + 50 + -17p = 18 + 50

Combine like terms: -50 + 50 = 0
0 + -17p = 18 + 50
-17p = 18 + 50

Combine like terms: 18 + 50 = 68
-17p = 68

Divide each side by '-17'.
p = -4

Simplifying
p = -4