3.3700=3.2000-.866(.125)+3*w

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Solution for 3.3700=3.2000-.866(.125)+3*w equation: 


Simplifying
3.3700 = 3.2000 + -0.866(0.125) + 3w

Multiply -0.866 * 0.125
3.3700 = 3.2000 + -0.10825 + 3w

Combine like terms: 3.2000 + -0.10825 = 3.09175
3.3700 = 3.09175 + 3w

Solving
3.3700 = 3.09175 + 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.
3.3700 + -3w = 3.09175 + 3w + -3w

Combine like terms: 3w + -3w = 0
3.3700 + -3w = 3.09175 + 0
3.3700 + -3w = 3.09175

Add '-3.3700' to each side of the equation.
3.3700 + -3.3700 + -3w = 3.09175 + -3.3700

Combine like terms: 3.3700 + -3.3700 = 0.0000
0.0000 + -3w = 3.09175 + -3.3700
-3w = 3.09175 + -3.3700

Combine like terms: 3.09175 + -3.3700 = -0.27825
-3w = -0.27825

Divide each side by '-3'.
w = 0.09275

Simplifying
w = 0.09275

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