8*-5(w-6)=2(w+6)+w

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


Simplifying
8 * -5(w + -6) = 2(w + 6) + w

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

Multiply 8 * -5
-40(-6 + w) = 2(w + 6) + w
(-6 * -40 + w * -40) = 2(w + 6) + w
(240 + -40w) = 2(w + 6) + w

Reorder the terms:
240 + -40w = 2(6 + w) + w
240 + -40w = (6 * 2 + w * 2) + w
240 + -40w = (12 + 2w) + w

Combine like terms: 2w + w = 3w
240 + -40w = 12 + 3w

Solving
240 + -40w = 12 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
240 + -40w + -3w = 12 + 3w + -3w

Combine like terms: -40w + -3w = -43w
240 + -43w = 12 + 3w + -3w

Combine like terms: 3w + -3w = 0
240 + -43w = 12 + 0
240 + -43w = 12

Add '-240' to each side of the equation.
240 + -240 + -43w = 12 + -240

Combine like terms: 240 + -240 = 0
0 + -43w = 12 + -240
-43w = 12 + -240

Combine like terms: 12 + -240 = -228
-43w = -228

Divide each side by '-43'.
w = 5.302325581

Simplifying
w = 5.302325581

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