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Simplifying -13.4w + -0.7w + -15.55 = 3.1w + 17.13 Reorder the terms: -15.55 + -13.4w + -0.7w = 3.1w + 17.13 Combine like terms: -13.4w + -0.7w = -14.1w -15.55 + -14.1w = 3.1w + 17.13 Reorder the terms: -15.55 + -14.1w = 17.13 + 3.1w Solving -15.55 + -14.1w = 17.13 + 3.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.1w' to each side of the equation. -15.55 + -14.1w + -3.1w = 17.13 + 3.1w + -3.1w Combine like terms: -14.1w + -3.1w = -17.2w -15.55 + -17.2w = 17.13 + 3.1w + -3.1w Combine like terms: 3.1w + -3.1w = 0.0 -15.55 + -17.2w = 17.13 + 0.0 -15.55 + -17.2w = 17.13 Add '15.55' to each side of the equation. -15.55 + 15.55 + -17.2w = 17.13 + 15.55 Combine like terms: -15.55 + 15.55 = 0.00 0.00 + -17.2w = 17.13 + 15.55 -17.2w = 17.13 + 15.55 Combine like terms: 17.13 + 15.55 = 32.68 -17.2w = 32.68 Divide each side by '-17.2'. w = -1.9 Simplifying w = -1.9
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