0.3(3w-6)=-0.5(2w-4)

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Solution for 0.3(3w-6)=-0.5(2w-4) equation: 


Simplifying
0.3(3w + -6) = -0.5(2w + -4)

Reorder the terms:
0.3(-6 + 3w) = -0.5(2w + -4)
(-6 * 0.3 + 3w * 0.3) = -0.5(2w + -4)
(-1.8 + 0.9w) = -0.5(2w + -4)

Reorder the terms:
-1.8 + 0.9w = -0.5(-4 + 2w)
-1.8 + 0.9w = (-4 * -0.5 + 2w * -0.5)
-1.8 + 0.9w = (2 + -1w)

Solving
-1.8 + 0.9w = 2 + -1w

Solving for variable 'w'.

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

Add 'w' to each side of the equation.
-1.8 + 0.9w + w = 2 + -1w + w

Combine like terms: 0.9w + w = 1.9w
-1.8 + 1.9w = 2 + -1w + w

Combine like terms: -1w + w = 0
-1.8 + 1.9w = 2 + 0
-1.8 + 1.9w = 2

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 1.9w = 2 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 1.9w = 2 + 1.8
1.9w = 2 + 1.8

Combine like terms: 2 + 1.8 = 3.8
1.9w = 3.8

Divide each side by '1.9'.
w = 2

Simplifying
w = 2

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