w-.2w+2.5=.4(w-.75)

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Solution for w-.2w+2.5=.4(w-.75) equation:


Simplifying
w + -0.2w + 2.5 = 0.4(w + -0.75)

Reorder the terms:
2.5 + w + -0.2w = 0.4(w + -0.75)

Combine like terms: w + -0.2w = 0.8w
2.5 + 0.8w = 0.4(w + -0.75)

Reorder the terms:
2.5 + 0.8w = 0.4(-0.75 + w)
2.5 + 0.8w = (-0.75 * 0.4 + w * 0.4)
2.5 + 0.8w = (-0.3 + 0.4w)

Solving
2.5 + 0.8w = -0.3 + 0.4w

Solving for variable 'w'.

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

Add '-0.4w' to each side of the equation.
2.5 + 0.8w + -0.4w = -0.3 + 0.4w + -0.4w

Combine like terms: 0.8w + -0.4w = 0.4w
2.5 + 0.4w = -0.3 + 0.4w + -0.4w

Combine like terms: 0.4w + -0.4w = 0.0
2.5 + 0.4w = -0.3 + 0.0
2.5 + 0.4w = -0.3

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.4w = -0.3 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.4w = -0.3 + -2.5
0.4w = -0.3 + -2.5

Combine like terms: -0.3 + -2.5 = -2.8
0.4w = -2.8

Divide each side by '0.4'.
w = -7

Simplifying
w = -7

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