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 + w)

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

Combine like terms: 36 + -3 = 33
33 + -6w = 9w + -3(9 + w)
33 + -6w = 9w + (9 * -3 + w * -3)
33 + -6w = 9w + (-27 + -3w)

Reorder the terms:
33 + -6w = -27 + 9w + -3w

Combine like terms: 9w + -3w = 6w
33 + -6w = -27 + 6w

Solving
33 + -6w = -27 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
33 + -6w + -6w = -27 + 6w + -6w

Combine like terms: -6w + -6w = -12w
33 + -12w = -27 + 6w + -6w

Combine like terms: 6w + -6w = 0
33 + -12w = -27 + 0
33 + -12w = -27

Add '-33' to each side of the equation.
33 + -33 + -12w = -27 + -33

Combine like terms: 33 + -33 = 0
0 + -12w = -27 + -33
-12w = -27 + -33

Combine like terms: -27 + -33 = -60
-12w = -60

Divide each side by '-12'.
w = 5

Simplifying
w = 5

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