w-.2+2.5=.49(w-.75)

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Solution for w-.2+2.5=.49(w-.75) equation:


Simplifying
w + -0.2 + 2.5 = 0.49(w + -0.75)

Reorder the terms:
-0.2 + 2.5 + w = 0.49(w + -0.75)

Combine like terms: -0.2 + 2.5 = 2.3
2.3 + w = 0.49(w + -0.75)

Reorder the terms:
2.3 + w = 0.49(-0.75 + w)
2.3 + w = (-0.75 * 0.49 + w * 0.49)
2.3 + w = (-0.3675 + 0.49w)

Solving
2.3 + w = -0.3675 + 0.49w

Solving for variable 'w'.

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

Add '-0.49w' to each side of the equation.
2.3 + w + -0.49w = -0.3675 + 0.49w + -0.49w

Combine like terms: w + -0.49w = 0.51w
2.3 + 0.51w = -0.3675 + 0.49w + -0.49w

Combine like terms: 0.49w + -0.49w = 0.00
2.3 + 0.51w = -0.3675 + 0.00
2.3 + 0.51w = -0.3675

Add '-2.3' to each side of the equation.
2.3 + -2.3 + 0.51w = -0.3675 + -2.3

Combine like terms: 2.3 + -2.3 = 0.0
0.0 + 0.51w = -0.3675 + -2.3
0.51w = -0.3675 + -2.3

Combine like terms: -0.3675 + -2.3 = -2.6675
0.51w = -2.6675

Divide each side by '0.51'.
w = -5.230392157

Simplifying
w = -5.230392157

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