36-3(2w-1)=9w-3(9-w)

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Solution for 36-3(2w-1)=9w-3(9-w) equation: 


Simplifying
36 + -3(2w + -1) = 9w + -3(9 + -1w)

Reorder the terms:
36 + -3(-1 + 2w) = 9w + -3(9 + -1w)
36 + (-1 * -3 + 2w * -3) = 9w + -3(9 + -1w)
36 + (3 + -6w) = 9w + -3(9 + -1w)

Combine like terms: 36 + 3 = 39
39 + -6w = 9w + -3(9 + -1w)
39 + -6w = 9w + (9 * -3 + -1w * -3)
39 + -6w = 9w + (-27 + 3w)

Reorder the terms:
39 + -6w = -27 + 9w + 3w

Combine like terms: 9w + 3w = 12w
39 + -6w = -27 + 12w

Solving
39 + -6w = -27 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
39 + -6w + -12w = -27 + 12w + -12w

Combine like terms: -6w + -12w = -18w
39 + -18w = -27 + 12w + -12w

Combine like terms: 12w + -12w = 0
39 + -18w = -27 + 0
39 + -18w = -27

Add '-39' to each side of the equation.
39 + -39 + -18w = -27 + -39

Combine like terms: 39 + -39 = 0
0 + -18w = -27 + -39
-18w = -27 + -39

Combine like terms: -27 + -39 = -66
-18w = -66

Divide each side by '-18'.
w = 3.666666667

Simplifying
w = 3.666666667

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