9.2-4w=-2(3w+5)

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Solution for 9.2-4w=-2(3w+5) equation: 


Simplifying
9.2 + -4w = -2(3w + 5)

Reorder the terms:
9.2 + -4w = -2(5 + 3w)
9.2 + -4w = (5 * -2 + 3w * -2)
9.2 + -4w = (-10 + -6w)

Solving
9.2 + -4w = -10 + -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
9.2 + -4w + 6w = -10 + -6w + 6w

Combine like terms: -4w + 6w = 2w
9.2 + 2w = -10 + -6w + 6w

Combine like terms: -6w + 6w = 0
9.2 + 2w = -10 + 0
9.2 + 2w = -10

Add '-9.2' to each side of the equation.
9.2 + -9.2 + 2w = -10 + -9.2

Combine like terms: 9.2 + -9.2 = 0.0
0.0 + 2w = -10 + -9.2
2w = -10 + -9.2

Combine like terms: -10 + -9.2 = -19.2
2w = -19.2

Divide each side by '2'.
w = -9.6

Simplifying
w = -9.6

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