42=8p+4(p+5)

Solution for 42=8p+4(p+5) equation:

Simplifying
42 = 8p + 4(p + 5)

Reorder the terms:
42 = 8p + 4(5 + p)
42 = 8p + (5 * 4 + p * 4)
42 = 8p + (20 + 4p)

Reorder the terms:
42 = 20 + 8p + 4p

Combine like terms: 8p + 4p = 12p
42 = 20 + 12p

Solving
42 = 20 + 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.
42 + -12p = 20 + 12p + -12p

Combine like terms: 12p + -12p = 0
42 + -12p = 20 + 0
42 + -12p = 20

Add '-42' to each side of the equation.
42 + -42 + -12p = 20 + -42

Combine like terms: 42 + -42 = 0
0 + -12p = 20 + -42
-12p = 20 + -42

Combine like terms: 20 + -42 = -22
-12p = -22

Divide each side by '-12'.
p = 1.833333333

Simplifying
p = 1.833333333