2(1[4w-9]1)=14

Solution for 2(1[4w-9]1)=14 equation:

Simplifying
2(1[4w + -9] * 1) = 14

Reorder the terms:
2(1[-9 + 4w] * 1) = 14

Reorder the terms for easier multiplication:
2(1 * 1[-9 + 4w]) = 14

Multiply 1 * 1
2(1[-9 + 4w]) = 14
2([-9 * 1 + 4w * 1]) = 14
2([-9 + 4w]) = 14
(-9 * 2 + 4w * 2) = 14
(-18 + 8w) = 14

Solving
-18 + 8w = 14

Solving for variable 'w'.

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

Add '18' to each side of the equation.
-18 + 18 + 8w = 14 + 18

Combine like terms: -18 + 18 = 0
0 + 8w = 14 + 18
8w = 14 + 18

Combine like terms: 14 + 18 = 32
8w = 32

Divide each side by '8'.
w = 4

Simplifying
w = 4