2[-5p+8]+6=42

Solution for 2[-5p+8]+6=42 equation:

Simplifying
2[-5p + 8] + 6 = 42

Reorder the terms:
2[8 + -5p] + 6 = 42
[8 * 2 + -5p * 2] + 6 = 42
[16 + -10p] + 6 = 42

Reorder the terms:
16 + 6 + -10p = 42

Combine like terms: 16 + 6 = 22
22 + -10p = 42

Solving
22 + -10p = 42

Solving for variable 'p'.

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

Add '-22' to each side of the equation.
22 + -22 + -10p = 42 + -22

Combine like terms: 22 + -22 = 0
0 + -10p = 42 + -22
-10p = 42 + -22

Combine like terms: 42 + -22 = 20
-10p = 20

Divide each side by '-10'.
p = -2

Simplifying
p = -2