6(10-2w)=3(5w+3)

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Solution for 6(10-2w)=3(5w+3) equation: 


Simplifying
6(10 + -2w) = 3(5w + 3)
(10 * 6 + -2w * 6) = 3(5w + 3)
(60 + -12w) = 3(5w + 3)

Reorder the terms:
60 + -12w = 3(3 + 5w)
60 + -12w = (3 * 3 + 5w * 3)
60 + -12w = (9 + 15w)

Solving
60 + -12w = 9 + 15w

Solving for variable 'w'.

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

Add '-15w' to each side of the equation.
60 + -12w + -15w = 9 + 15w + -15w

Combine like terms: -12w + -15w = -27w
60 + -27w = 9 + 15w + -15w

Combine like terms: 15w + -15w = 0
60 + -27w = 9 + 0
60 + -27w = 9

Add '-60' to each side of the equation.
60 + -60 + -27w = 9 + -60

Combine like terms: 60 + -60 = 0
0 + -27w = 9 + -60
-27w = 9 + -60

Combine like terms: 9 + -60 = -51
-27w = -51

Divide each side by '-27'.
w = 1.888888889

Simplifying
w = 1.888888889

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