2(w-5)-8(w-3)=20

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Solution for 2(w-5)-8(w-3)=20 equation: 


Simplifying
2(w + -5) + -8(w + -3) = 20

Reorder the terms:
2(-5 + w) + -8(w + -3) = 20
(-5 * 2 + w * 2) + -8(w + -3) = 20
(-10 + 2w) + -8(w + -3) = 20

Reorder the terms:
-10 + 2w + -8(-3 + w) = 20
-10 + 2w + (-3 * -8 + w * -8) = 20
-10 + 2w + (24 + -8w) = 20

Reorder the terms:
-10 + 24 + 2w + -8w = 20

Combine like terms: -10 + 24 = 14
14 + 2w + -8w = 20

Combine like terms: 2w + -8w = -6w
14 + -6w = 20

Solving
14 + -6w = 20

Solving for variable 'w'.

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

Add '-14' to each side of the equation.
14 + -14 + -6w = 20 + -14

Combine like terms: 14 + -14 = 0
0 + -6w = 20 + -14
-6w = 20 + -14

Combine like terms: 20 + -14 = 6
-6w = 6

Divide each side by '-6'.
w = -1

Simplifying
w = -1

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