6(5w+17.46)=18.3w-15.75

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Solution for 6(5w+17.46)=18.3w-15.75 equation: 


Simplifying
6(5w + 17.46) = 18.3w + -15.75

Reorder the terms:
6(17.46 + 5w) = 18.3w + -15.75
(17.46 * 6 + 5w * 6) = 18.3w + -15.75
(104.76 + 30w) = 18.3w + -15.75

Reorder the terms:
104.76 + 30w = -15.75 + 18.3w

Solving
104.76 + 30w = -15.75 + 18.3w

Solving for variable 'w'.

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

Add '-18.3w' to each side of the equation.
104.76 + 30w + -18.3w = -15.75 + 18.3w + -18.3w

Combine like terms: 30w + -18.3w = 11.7w
104.76 + 11.7w = -15.75 + 18.3w + -18.3w

Combine like terms: 18.3w + -18.3w = 0.0
104.76 + 11.7w = -15.75 + 0.0
104.76 + 11.7w = -15.75

Add '-104.76' to each side of the equation.
104.76 + -104.76 + 11.7w = -15.75 + -104.76

Combine like terms: 104.76 + -104.76 = 0.00
0.00 + 11.7w = -15.75 + -104.76
11.7w = -15.75 + -104.76

Combine like terms: -15.75 + -104.76 = -120.51
11.7w = -120.51

Divide each side by '11.7'.
w = -10.3

Simplifying
w = -10.3

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