.5(3w-11)=65

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Solution for .5(3w-11)=65 equation: 


Simplifying
0.5(3w + -11) = 65

Reorder the terms:
0.5(-11 + 3w) = 65
(-11 * 0.5 + 3w * 0.5) = 65
(-5.5 + 1.5w) = 65

Solving
-5.5 + 1.5w = 65

Solving for variable 'w'.

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + 1.5w = 65 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 1.5w = 65 + 5.5
1.5w = 65 + 5.5

Combine like terms: 65 + 5.5 = 70.5
1.5w = 70.5

Divide each side by '1.5'.
w = 47

Simplifying
w = 47

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