40-4(2w+1)=6w-4(6+w)

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Solution for 40-4(2w+1)=6w-4(6+w) equation: 


Simplifying
40 + -4(2w + 1) = 6w + -4(6 + w)

Reorder the terms:
40 + -4(1 + 2w) = 6w + -4(6 + w)
40 + (1 * -4 + 2w * -4) = 6w + -4(6 + w)
40 + (-4 + -8w) = 6w + -4(6 + w)

Combine like terms: 40 + -4 = 36
36 + -8w = 6w + -4(6 + w)
36 + -8w = 6w + (6 * -4 + w * -4)
36 + -8w = 6w + (-24 + -4w)

Reorder the terms:
36 + -8w = -24 + 6w + -4w

Combine like terms: 6w + -4w = 2w
36 + -8w = -24 + 2w

Solving
36 + -8w = -24 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
36 + -8w + -2w = -24 + 2w + -2w

Combine like terms: -8w + -2w = -10w
36 + -10w = -24 + 2w + -2w

Combine like terms: 2w + -2w = 0
36 + -10w = -24 + 0
36 + -10w = -24

Add '-36' to each side of the equation.
36 + -36 + -10w = -24 + -36

Combine like terms: 36 + -36 = 0
0 + -10w = -24 + -36
-10w = -24 + -36

Combine like terms: -24 + -36 = -60
-10w = -60

Divide each side by '-10'.
w = 6

Simplifying
w = 6

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