42=6(p+1)

Solution for 42=6(p+1) equation:

Simplifying
42 = 6(p + 1)

Reorder the terms:
42 = 6(1 + p)
42 = (1 * 6 + p * 6)
42 = (6 + 6p)

Solving
42 = 6 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
42 + -6p = 6 + 6p + -6p

Combine like terms: 6p + -6p = 0
42 + -6p = 6 + 0
42 + -6p = 6

Add '-42' to each side of the equation.
42 + -42 + -6p = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -6p = 6 + -42
-6p = 6 + -42

Combine like terms: 6 + -42 = -36
-6p = -36

Divide each side by '-6'.
p = 6

Simplifying
p = 6