w-.71w+.33=-.17(w-.71)

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Solution for w-.71w+.33=-.17(w-.71) equation:


Simplifying
w + -0.71w + 0.33 = -0.17(w + -0.71)

Reorder the terms:
0.33 + w + -0.71w = -0.17(w + -0.71)

Combine like terms: w + -0.71w = 0.29w
0.33 + 0.29w = -0.17(w + -0.71)

Reorder the terms:
0.33 + 0.29w = -0.17(-0.71 + w)
0.33 + 0.29w = (-0.71 * -0.17 + w * -0.17)
0.33 + 0.29w = (0.1207 + -0.17w)

Solving
0.33 + 0.29w = 0.1207 + -0.17w

Solving for variable 'w'.

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

Add '0.17w' to each side of the equation.
0.33 + 0.29w + 0.17w = 0.1207 + -0.17w + 0.17w

Combine like terms: 0.29w + 0.17w = 0.46w
0.33 + 0.46w = 0.1207 + -0.17w + 0.17w

Combine like terms: -0.17w + 0.17w = 0.00
0.33 + 0.46w = 0.1207 + 0.00
0.33 + 0.46w = 0.1207

Add '-0.33' to each side of the equation.
0.33 + -0.33 + 0.46w = 0.1207 + -0.33

Combine like terms: 0.33 + -0.33 = 0.00
0.00 + 0.46w = 0.1207 + -0.33
0.46w = 0.1207 + -0.33

Combine like terms: 0.1207 + -0.33 = -0.2093
0.46w = -0.2093

Divide each side by '0.46'.
w = -0.455

Simplifying
w = -0.455

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