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Simplifying 17 + -0.4(w + -14) = 0.5(9w + -14) Reorder the terms: 17 + -0.4(-14 + w) = 0.5(9w + -14) 17 + (-14 * -0.4 + w * -0.4) = 0.5(9w + -14) 17 + (5.6 + -0.4w) = 0.5(9w + -14) Combine like terms: 17 + 5.6 = 22.6 22.6 + -0.4w = 0.5(9w + -14) Reorder the terms: 22.6 + -0.4w = 0.5(-14 + 9w) 22.6 + -0.4w = (-14 * 0.5 + 9w * 0.5) 22.6 + -0.4w = (-7 + 4.5w) Solving 22.6 + -0.4w = -7 + 4.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.5w' to each side of the equation. 22.6 + -0.4w + -4.5w = -7 + 4.5w + -4.5w Combine like terms: -0.4w + -4.5w = -4.9w 22.6 + -4.9w = -7 + 4.5w + -4.5w Combine like terms: 4.5w + -4.5w = 0.0 22.6 + -4.9w = -7 + 0.0 22.6 + -4.9w = -7 Add '-22.6' to each side of the equation. 22.6 + -22.6 + -4.9w = -7 + -22.6 Combine like terms: 22.6 + -22.6 = 0.0 0.0 + -4.9w = -7 + -22.6 -4.9w = -7 + -22.6 Combine like terms: -7 + -22.6 = -29.6 -4.9w = -29.6 Divide each side by '-4.9'. w = 6.040816327 Simplifying w = 6.040816327
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