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Simplifying -0.1w + -19.73 + -17.55 = 19.84 + 8.3w Reorder the terms: -19.73 + -17.55 + -0.1w = 19.84 + 8.3w Combine like terms: -19.73 + -17.55 = -37.28 -37.28 + -0.1w = 19.84 + 8.3w Solving -37.28 + -0.1w = 19.84 + 8.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8.3w' to each side of the equation. -37.28 + -0.1w + -8.3w = 19.84 + 8.3w + -8.3w Combine like terms: -0.1w + -8.3w = -8.4w -37.28 + -8.4w = 19.84 + 8.3w + -8.3w Combine like terms: 8.3w + -8.3w = 0.0 -37.28 + -8.4w = 19.84 + 0.0 -37.28 + -8.4w = 19.84 Add '37.28' to each side of the equation. -37.28 + 37.28 + -8.4w = 19.84 + 37.28 Combine like terms: -37.28 + 37.28 = 0.00 0.00 + -8.4w = 19.84 + 37.28 -8.4w = 19.84 + 37.28 Combine like terms: 19.84 + 37.28 = 57.12 -8.4w = 57.12 Divide each side by '-8.4'. w = -6.8 Simplifying w = -6.8
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