2w+46=-2(w-3)

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Solution for 2w+46=-2(w-3) equation:


Simplifying
2w + 46 = -2(w + -3)

Reorder the terms:
46 + 2w = -2(w + -3)

Reorder the terms:
46 + 2w = -2(-3 + w)
46 + 2w = (-3 * -2 + w * -2)
46 + 2w = (6 + -2w)

Solving
46 + 2w = 6 + -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.
46 + 2w + 2w = 6 + -2w + 2w

Combine like terms: 2w + 2w = 4w
46 + 4w = 6 + -2w + 2w

Combine like terms: -2w + 2w = 0
46 + 4w = 6 + 0
46 + 4w = 6

Add '-46' to each side of the equation.
46 + -46 + 4w = 6 + -46

Combine like terms: 46 + -46 = 0
0 + 4w = 6 + -46
4w = 6 + -46

Combine like terms: 6 + -46 = -40
4w = -40

Divide each side by '4'.
w = -10

Simplifying
w = -10

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