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Simplifying 2.8(2 + 3w) = -3w + 5.6 (2 * 2.8 + 3w * 2.8) = -3w + 5.6 (5.6 + 8.4w) = -3w + 5.6 Reorder the terms: 5.6 + 8.4w = 5.6 + -3w Add '-5.6' to each side of the equation. 5.6 + -5.6 + 8.4w = 5.6 + -5.6 + -3w Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 8.4w = 5.6 + -5.6 + -3w 8.4w = 5.6 + -5.6 + -3w Combine like terms: 5.6 + -5.6 = 0.0 8.4w = 0.0 + -3w 8.4w = -3w Solving 8.4w = -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 8.4w + 3w = -3w + 3w Combine like terms: 8.4w + 3w = 11.4w 11.4w = -3w + 3w Combine like terms: -3w + 3w = 0 11.4w = 0 Divide each side by '11.4'. w = 0 Simplifying w = 0
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