6p-4(p-8)=42

Solution for 6p-4(p-8)=42 equation:

Simplifying
6p + -4(p + -8) = 42

Reorder the terms:
6p + -4(-8 + p) = 42
6p + (-8 * -4 + p * -4) = 42
6p + (32 + -4p) = 42

Reorder the terms:
32 + 6p + -4p = 42

Combine like terms: 6p + -4p = 2p
32 + 2p = 42

Solving
32 + 2p = 42

Solving for variable 'p'.

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

Add '-32' to each side of the equation.
32 + -32 + 2p = 42 + -32

Combine like terms: 32 + -32 = 0
0 + 2p = 42 + -32
2p = 42 + -32

Combine like terms: 42 + -32 = 10
2p = 10

Divide each side by '2'.
p = 5

Simplifying
p = 5