6(w-1)=8w+7-2(-5w-1)

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Solution for 6(w-1)=8w+7-2(-5w-1) equation:


Simplifying
6(w + -1) = 8w + 7 + -2(-5w + -1)

Reorder the terms:
6(-1 + w) = 8w + 7 + -2(-5w + -1)
(-1 * 6 + w * 6) = 8w + 7 + -2(-5w + -1)
(-6 + 6w) = 8w + 7 + -2(-5w + -1)

Reorder the terms:
-6 + 6w = 8w + 7 + -2(-1 + -5w)
-6 + 6w = 8w + 7 + (-1 * -2 + -5w * -2)
-6 + 6w = 8w + 7 + (2 + 10w)

Reorder the terms:
-6 + 6w = 7 + 2 + 8w + 10w

Combine like terms: 7 + 2 = 9
-6 + 6w = 9 + 8w + 10w

Combine like terms: 8w + 10w = 18w
-6 + 6w = 9 + 18w

Solving
-6 + 6w = 9 + 18w

Solving for variable 'w'.

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

Add '-18w' to each side of the equation.
-6 + 6w + -18w = 9 + 18w + -18w

Combine like terms: 6w + -18w = -12w
-6 + -12w = 9 + 18w + -18w

Combine like terms: 18w + -18w = 0
-6 + -12w = 9 + 0
-6 + -12w = 9

Add '6' to each side of the equation.
-6 + 6 + -12w = 9 + 6

Combine like terms: -6 + 6 = 0
0 + -12w = 9 + 6
-12w = 9 + 6

Combine like terms: 9 + 6 = 15
-12w = 15

Divide each side by '-12'.
w = -1.25

Simplifying
w = -1.25

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