-6(5p+4)-34=2(2p+5)

Solution for -6(5p+4)-34=2(2p+5) equation:

Simplifying
-6(5p + 4) + -34 = 2(2p + 5)

Reorder the terms:
-6(4 + 5p) + -34 = 2(2p + 5)
(4 * -6 + 5p * -6) + -34 = 2(2p + 5)
(-24 + -30p) + -34 = 2(2p + 5)

Reorder the terms:
-24 + -34 + -30p = 2(2p + 5)

Combine like terms: -24 + -34 = -58
-58 + -30p = 2(2p + 5)

Reorder the terms:
-58 + -30p = 2(5 + 2p)
-58 + -30p = (5 * 2 + 2p * 2)
-58 + -30p = (10 + 4p)

Solving
-58 + -30p = 10 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-58 + -30p + -4p = 10 + 4p + -4p

Combine like terms: -30p + -4p = -34p
-58 + -34p = 10 + 4p + -4p

Combine like terms: 4p + -4p = 0
-58 + -34p = 10 + 0
-58 + -34p = 10

Add '58' to each side of the equation.
-58 + 58 + -34p = 10 + 58

Combine like terms: -58 + 58 = 0
0 + -34p = 10 + 58
-34p = 10 + 58

Combine like terms: 10 + 58 = 68
-34p = 68

Divide each side by '-34'.
p = -2

Simplifying
p = -2