6w+5(w-2)=33

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Solution for 6w+5(w-2)=33 equation:


Simplifying
6w + 5(w + -2) = 33

Reorder the terms:
6w + 5(-2 + w) = 33
6w + (-2 * 5 + w * 5) = 33
6w + (-10 + 5w) = 33

Reorder the terms:
-10 + 6w + 5w = 33

Combine like terms: 6w + 5w = 11w
-10 + 11w = 33

Solving
-10 + 11w = 33

Solving for variable 'w'.

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

Add '10' to each side of the equation.
-10 + 10 + 11w = 33 + 10

Combine like terms: -10 + 10 = 0
0 + 11w = 33 + 10
11w = 33 + 10

Combine like terms: 33 + 10 = 43
11w = 43

Divide each side by '11'.
w = 3.909090909

Simplifying
w = 3.909090909

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