2w-2+2(3w+1)=-2(w+7)

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Solution for 2w-2+2(3w+1)=-2(w+7) equation:


Simplifying
2w + -2 + 2(3w + 1) = -2(w + 7)

Reorder the terms:
2w + -2 + 2(1 + 3w) = -2(w + 7)
2w + -2 + (1 * 2 + 3w * 2) = -2(w + 7)
2w + -2 + (2 + 6w) = -2(w + 7)

Reorder the terms:
-2 + 2 + 2w + 6w = -2(w + 7)

Combine like terms: -2 + 2 = 0
0 + 2w + 6w = -2(w + 7)
2w + 6w = -2(w + 7)

Combine like terms: 2w + 6w = 8w
8w = -2(w + 7)

Reorder the terms:
8w = -2(7 + w)
8w = (7 * -2 + w * -2)
8w = (-14 + -2w)

Solving
8w = -14 + -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.
8w + 2w = -14 + -2w + 2w

Combine like terms: 8w + 2w = 10w
10w = -14 + -2w + 2w

Combine like terms: -2w + 2w = 0
10w = -14 + 0
10w = -14

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

Simplifying
w = -1.4

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