8w+7-2(-2w-1)=2(w-3)

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Solution for 8w+7-2(-2w-1)=2(w-3) equation:


Simplifying
8w + 7 + -2(-2w + -1) = 2(w + -3)

Reorder the terms:
8w + 7 + -2(-1 + -2w) = 2(w + -3)
8w + 7 + (-1 * -2 + -2w * -2) = 2(w + -3)
8w + 7 + (2 + 4w) = 2(w + -3)

Reorder the terms:
7 + 2 + 8w + 4w = 2(w + -3)

Combine like terms: 7 + 2 = 9
9 + 8w + 4w = 2(w + -3)

Combine like terms: 8w + 4w = 12w
9 + 12w = 2(w + -3)

Reorder the terms:
9 + 12w = 2(-3 + w)
9 + 12w = (-3 * 2 + w * 2)
9 + 12w = (-6 + 2w)

Solving
9 + 12w = -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.
9 + 12w + -2w = -6 + 2w + -2w

Combine like terms: 12w + -2w = 10w
9 + 10w = -6 + 2w + -2w

Combine like terms: 2w + -2w = 0
9 + 10w = -6 + 0
9 + 10w = -6

Add '-9' to each side of the equation.
9 + -9 + 10w = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 10w = -6 + -9
10w = -6 + -9

Combine like terms: -6 + -9 = -15
10w = -15

Divide each side by '10'.
w = -1.5

Simplifying
w = -1.5

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