-2(5w-2)+2w=2(w+9)

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Solution for -2(5w-2)+2w=2(w+9) equation:


Simplifying
-2(5w + -2) + 2w = 2(w + 9)

Reorder the terms:
-2(-2 + 5w) + 2w = 2(w + 9)
(-2 * -2 + 5w * -2) + 2w = 2(w + 9)
(4 + -10w) + 2w = 2(w + 9)

Combine like terms: -10w + 2w = -8w
4 + -8w = 2(w + 9)

Reorder the terms:
4 + -8w = 2(9 + w)
4 + -8w = (9 * 2 + w * 2)
4 + -8w = (18 + 2w)

Solving
4 + -8w = 18 + 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.
4 + -8w + -2w = 18 + 2w + -2w

Combine like terms: -8w + -2w = -10w
4 + -10w = 18 + 2w + -2w

Combine like terms: 2w + -2w = 0
4 + -10w = 18 + 0
4 + -10w = 18

Add '-4' to each side of the equation.
4 + -4 + -10w = 18 + -4

Combine like terms: 4 + -4 = 0
0 + -10w = 18 + -4
-10w = 18 + -4

Combine like terms: 18 + -4 = 14
-10w = 14

Divide each side by '-10'.
w = -1.4

Simplifying
w = -1.4

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