5(1-2w)+8w=14

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Solution for 5(1-2w)+8w=14 equation: 


Simplifying
5(1 + -2w) + 8w = 14
(1 * 5 + -2w * 5) + 8w = 14
(5 + -10w) + 8w = 14

Combine like terms: -10w + 8w = -2w
5 + -2w = 14

Solving
5 + -2w = 14

Solving for variable 'w'.

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

Add '-5' to each side of the equation.
5 + -5 + -2w = 14 + -5

Combine like terms: 5 + -5 = 0
0 + -2w = 14 + -5
-2w = 14 + -5

Combine like terms: 14 + -5 = 9
-2w = 9

Divide each side by '-2'.
w = -4.5

Simplifying
w = -4.5

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