2(4w-1)=3(z+2)

Solution for 2(4w-1)=3(z+2) equation:

Simplifying
2(4w + -1) = 3(z + 2)

Reorder the terms:
2(-1 + 4w) = 3(z + 2)
(-1 * 2 + 4w * 2) = 3(z + 2)
(-2 + 8w) = 3(z + 2)

Reorder the terms:
-2 + 8w = 3(2 + z)
-2 + 8w = (2 * 3 + z * 3)
-2 + 8w = (6 + 3z)

Solving
-2 + 8w = 6 + 3z

Solving for variable 'w'.

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

Add '2' to each side of the equation.
-2 + 2 + 8w = 6 + 2 + 3z

Combine like terms: -2 + 2 = 0
0 + 8w = 6 + 2 + 3z
8w = 6 + 2 + 3z

Combine like terms: 6 + 2 = 8
8w = 8 + 3z

Divide each side by '8'.
w = 1 + 0.375z

Simplifying
w = 1 + 0.375z