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Simplifying -2(2.8w + 13.37) + -19.49 = -0.2w + 18.92 + 19.63 Reorder the terms: -2(13.37 + 2.8w) + -19.49 = -0.2w + 18.92 + 19.63 (13.37 * -2 + 2.8w * -2) + -19.49 = -0.2w + 18.92 + 19.63 (-26.74 + -5.6w) + -19.49 = -0.2w + 18.92 + 19.63 Reorder the terms: -26.74 + -19.49 + -5.6w = -0.2w + 18.92 + 19.63 Combine like terms: -26.74 + -19.49 = -46.23 -46.23 + -5.6w = -0.2w + 18.92 + 19.63 Reorder the terms: -46.23 + -5.6w = 18.92 + 19.63 + -0.2w Combine like terms: 18.92 + 19.63 = 38.55 -46.23 + -5.6w = 38.55 + -0.2w Solving -46.23 + -5.6w = 38.55 + -0.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.2w' to each side of the equation. -46.23 + -5.6w + 0.2w = 38.55 + -0.2w + 0.2w Combine like terms: -5.6w + 0.2w = -5.4w -46.23 + -5.4w = 38.55 + -0.2w + 0.2w Combine like terms: -0.2w + 0.2w = 0.0 -46.23 + -5.4w = 38.55 + 0.0 -46.23 + -5.4w = 38.55 Add '46.23' to each side of the equation. -46.23 + 46.23 + -5.4w = 38.55 + 46.23 Combine like terms: -46.23 + 46.23 = 0.00 0.00 + -5.4w = 38.55 + 46.23 -5.4w = 38.55 + 46.23 Combine like terms: 38.55 + 46.23 = 84.78 -5.4w = 84.78 Divide each side by '-5.4'. w = -15.7 Simplifying w = -15.7
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