-2(2w-1)+2w=5+7(2w-1)

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Solution for -2(2w-1)+2w=5+7(2w-1) equation:


Simplifying
-2(2w + -1) + 2w = 5 + 7(2w + -1)

Reorder the terms:
-2(-1 + 2w) + 2w = 5 + 7(2w + -1)
(-1 * -2 + 2w * -2) + 2w = 5 + 7(2w + -1)
(2 + -4w) + 2w = 5 + 7(2w + -1)

Combine like terms: -4w + 2w = -2w
2 + -2w = 5 + 7(2w + -1)

Reorder the terms:
2 + -2w = 5 + 7(-1 + 2w)
2 + -2w = 5 + (-1 * 7 + 2w * 7)
2 + -2w = 5 + (-7 + 14w)

Combine like terms: 5 + -7 = -2
2 + -2w = -2 + 14w

Solving
2 + -2w = -2 + 14w

Solving for variable 'w'.

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

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

Combine like terms: -2w + -14w = -16w
2 + -16w = -2 + 14w + -14w

Combine like terms: 14w + -14w = 0
2 + -16w = -2 + 0
2 + -16w = -2

Add '-2' to each side of the equation.
2 + -2 + -16w = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -16w = -2 + -2
-16w = -2 + -2

Combine like terms: -2 + -2 = -4
-16w = -4

Divide each side by '-16'.
w = 0.25

Simplifying
w = 0.25

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