9=8+3(6w+1)

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Solution for 9=8+3(6w+1) equation: 


Simplifying
9 = 8 + 3(6w + 1)

Reorder the terms:
9 = 8 + 3(1 + 6w)
9 = 8 + (1 * 3 + 6w * 3)
9 = 8 + (3 + 18w)

Combine like terms: 8 + 3 = 11
9 = 11 + 18w

Solving
9 = 11 + 18w

Solving for variable 'w'.

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

Add '-18w' to each side of the equation.
9 + -18w = 11 + 18w + -18w

Combine like terms: 18w + -18w = 0
9 + -18w = 11 + 0
9 + -18w = 11

Add '-9' to each side of the equation.
9 + -9 + -18w = 11 + -9

Combine like terms: 9 + -9 = 0
0 + -18w = 11 + -9
-18w = 11 + -9

Combine like terms: 11 + -9 = 2
-18w = 2

Divide each side by '-18'.
w = -0.1111111111

Simplifying
w = -0.1111111111

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