6-4(2w+1)=10w-4(10+w)

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Solution for 6-4(2w+1)=10w-4(10+w) equation:


Simplifying
6 + -4(2w + 1) = 10w + -4(10 + w)

Reorder the terms:
6 + -4(1 + 2w) = 10w + -4(10 + w)
6 + (1 * -4 + 2w * -4) = 10w + -4(10 + w)
6 + (-4 + -8w) = 10w + -4(10 + w)

Combine like terms: 6 + -4 = 2
2 + -8w = 10w + -4(10 + w)
2 + -8w = 10w + (10 * -4 + w * -4)
2 + -8w = 10w + (-40 + -4w)

Reorder the terms:
2 + -8w = -40 + 10w + -4w

Combine like terms: 10w + -4w = 6w
2 + -8w = -40 + 6w

Solving
2 + -8w = -40 + 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.
2 + -8w + -6w = -40 + 6w + -6w

Combine like terms: -8w + -6w = -14w
2 + -14w = -40 + 6w + -6w

Combine like terms: 6w + -6w = 0
2 + -14w = -40 + 0
2 + -14w = -40

Add '-2' to each side of the equation.
2 + -2 + -14w = -40 + -2

Combine like terms: 2 + -2 = 0
0 + -14w = -40 + -2
-14w = -40 + -2

Combine like terms: -40 + -2 = -42
-14w = -42

Divide each side by '-14'.
w = 3

Simplifying
w = 3

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