-6(3p+8)=42

Solution for -6(3p+8)=42 equation:

Simplifying
-6(3p + 8) = 42

Reorder the terms:
-6(8 + 3p) = 42
(8 * -6 + 3p * -6) = 42
(-48 + -18p) = 42

Solving
-48 + -18p = 42

Solving for variable 'p'.

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

Add '48' to each side of the equation.
-48 + 48 + -18p = 42 + 48

Combine like terms: -48 + 48 = 0
0 + -18p = 42 + 48
-18p = 42 + 48

Combine like terms: 42 + 48 = 90
-18p = 90

Divide each side by '-18'.
p = -5

Simplifying
p = -5