(16x-12y+2)-2(8x-6y-4z)=42

Solution for (16x-12y+2)-2(8x-6y-4z)=42 equation:

Simplifying
(16x + -12y + 2) + -2(8x + -6y + -4z) = 42

Reorder the terms:
(2 + 16x + -12y) + -2(8x + -6y + -4z) = 42

Remove parenthesis around (2 + 16x + -12y)
2 + 16x + -12y + -2(8x + -6y + -4z) = 42
2 + 16x + -12y + (8x * -2 + -6y * -2 + -4z * -2) = 42
2 + 16x + -12y + (-16x + 12y + 8z) = 42

Reorder the terms:
2 + 16x + -16x + -12y + 12y + 8z = 42

Combine like terms: 16x + -16x = 0
2 + 0 + -12y + 12y + 8z = 42
2 + -12y + 12y + 8z = 42

Combine like terms: -12y + 12y = 0
2 + 0 + 8z = 42
2 + 8z = 42

Solving
2 + 8z = 42

Solving for variable 'z'.

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

Add '-2' to each side of the equation.
2 + -2 + 8z = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 8z = 42 + -2
8z = 42 + -2

Combine like terms: 42 + -2 = 40
8z = 40

Divide each side by '8'.
z = 5

Simplifying
z = 5