36-3(2w+1)=5w-5(5+w)

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Solution for 36-3(2w+1)=5w-5(5+w) equation: 


Simplifying
36 + -3(2w + 1) = 5w + -5(5 + w)

Reorder the terms:
36 + -3(1 + 2w) = 5w + -5(5 + w)
36 + (1 * -3 + 2w * -3) = 5w + -5(5 + w)
36 + (-3 + -6w) = 5w + -5(5 + w)

Combine like terms: 36 + -3 = 33
33 + -6w = 5w + -5(5 + w)
33 + -6w = 5w + (5 * -5 + w * -5)
33 + -6w = 5w + (-25 + -5w)

Reorder the terms:
33 + -6w = -25 + 5w + -5w

Combine like terms: 5w + -5w = 0
33 + -6w = -25 + 0
33 + -6w = -25

Solving
33 + -6w = -25

Solving for variable 'w'.

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

Add '-33' to each side of the equation.
33 + -33 + -6w = -25 + -33

Combine like terms: 33 + -33 = 0
0 + -6w = -25 + -33
-6w = -25 + -33

Combine like terms: -25 + -33 = -58
-6w = -58

Divide each side by '-6'.
w = 9.666666667

Simplifying
w = 9.666666667

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