6(5-w)=2(2s+3)+9

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Solution for 6(5-w)=2(2s+3)+9 equation: 


Simplifying
6(5 + -1w) = 2(2s + 3) + 9
(5 * 6 + -1w * 6) = 2(2s + 3) + 9
(30 + -6w) = 2(2s + 3) + 9

Reorder the terms:
30 + -6w = 2(3 + 2s) + 9
30 + -6w = (3 * 2 + 2s * 2) + 9
30 + -6w = (6 + 4s) + 9

Reorder the terms:
30 + -6w = 6 + 9 + 4s

Combine like terms: 6 + 9 = 15
30 + -6w = 15 + 4s

Solving
30 + -6w = 15 + 4s

Solving for variable 'w'.

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

Add '-30' to each side of the equation.
30 + -30 + -6w = 15 + -30 + 4s

Combine like terms: 30 + -30 = 0
0 + -6w = 15 + -30 + 4s
-6w = 15 + -30 + 4s

Combine like terms: 15 + -30 = -15
-6w = -15 + 4s

Divide each side by '-6'.
w = 2.5 + -0.6666666667s

Simplifying
w = 2.5 + -0.6666666667s

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