3(4w-1)-6w-(9-2w)=26

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Solution for 3(4w-1)-6w-(9-2w)=26 equation: 


Simplifying
3(4w + -1) + -6w + -1(9 + -2w) = 26

Reorder the terms:
3(-1 + 4w) + -6w + -1(9 + -2w) = 26
(-1 * 3 + 4w * 3) + -6w + -1(9 + -2w) = 26
(-3 + 12w) + -6w + -1(9 + -2w) = 26
-3 + 12w + -6w + (9 * -1 + -2w * -1) = 26
-3 + 12w + -6w + (-9 + 2w) = 26

Reorder the terms:
-3 + -9 + 12w + -6w + 2w = 26

Combine like terms: -3 + -9 = -12
-12 + 12w + -6w + 2w = 26

Combine like terms: 12w + -6w = 6w
-12 + 6w + 2w = 26

Combine like terms: 6w + 2w = 8w
-12 + 8w = 26

Solving
-12 + 8w = 26

Solving for variable 'w'.

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

Add '12' to each side of the equation.
-12 + 12 + 8w = 26 + 12

Combine like terms: -12 + 12 = 0
0 + 8w = 26 + 12
8w = 26 + 12

Combine like terms: 26 + 12 = 38
8w = 38

Divide each side by '8'.
w = 4.75

Simplifying
w = 4.75

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