36-2(2w+1)=8w-2(8+w)

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Solution for 36-2(2w+1)=8w-2(8+w) equation: 


Simplifying
36 + -2(2w + 1) = 8w + -2(8 + w)

Reorder the terms:
36 + -2(1 + 2w) = 8w + -2(8 + w)
36 + (1 * -2 + 2w * -2) = 8w + -2(8 + w)
36 + (-2 + -4w) = 8w + -2(8 + w)

Combine like terms: 36 + -2 = 34
34 + -4w = 8w + -2(8 + w)
34 + -4w = 8w + (8 * -2 + w * -2)
34 + -4w = 8w + (-16 + -2w)

Reorder the terms:
34 + -4w = -16 + 8w + -2w

Combine like terms: 8w + -2w = 6w
34 + -4w = -16 + 6w

Solving
34 + -4w = -16 + 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.
34 + -4w + -6w = -16 + 6w + -6w

Combine like terms: -4w + -6w = -10w
34 + -10w = -16 + 6w + -6w

Combine like terms: 6w + -6w = 0
34 + -10w = -16 + 0
34 + -10w = -16

Add '-34' to each side of the equation.
34 + -34 + -10w = -16 + -34

Combine like terms: 34 + -34 = 0
0 + -10w = -16 + -34
-10w = -16 + -34

Combine like terms: -16 + -34 = -50
-10w = -50

Divide each side by '-10'.
w = 5

Simplifying
w = 5

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