0.4(8)-0.4(0.2w)=-4

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Solution for 0.4(8)-0.4(0.2w)=-4 equation: 


Simplifying
0.4(8) + -0.4(0.2w) = -4

Multiply 0.4 * 8
3.2 + -0.4(0.2w) = -4

Remove parenthesis around (0.2w)
3.2 + -0.4 * 0.2w = -4

Multiply -0.4 * 0.2
3.2 + -0.08w = -4

Solving
3.2 + -0.08w = -4

Solving for variable 'w'.

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

Add '-3.2' to each side of the equation.
3.2 + -3.2 + -0.08w = -4 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -0.08w = -4 + -3.2
-0.08w = -4 + -3.2

Combine like terms: -4 + -3.2 = -7.2
-0.08w = -7.2

Divide each side by '-0.08'.
w = 90

Simplifying
w = 90

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