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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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