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Simplifying 0.9w + -19 + w = 2w + -10 + -0.4w Reorder the terms: -19 + 0.9w + w = 2w + -10 + -0.4w Combine like terms: 0.9w + w = 1.9w -19 + 1.9w = 2w + -10 + -0.4w Reorder the terms: -19 + 1.9w = -10 + 2w + -0.4w Combine like terms: 2w + -0.4w = 1.6w -19 + 1.9w = -10 + 1.6w Solving -19 + 1.9w = -10 + 1.6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.6w' to each side of the equation. -19 + 1.9w + -1.6w = -10 + 1.6w + -1.6w Combine like terms: 1.9w + -1.6w = 0.3w -19 + 0.3w = -10 + 1.6w + -1.6w Combine like terms: 1.6w + -1.6w = 0.0 -19 + 0.3w = -10 + 0.0 -19 + 0.3w = -10 Add '19' to each side of the equation. -19 + 19 + 0.3w = -10 + 19 Combine like terms: -19 + 19 = 0 0 + 0.3w = -10 + 19 0.3w = -10 + 19 Combine like terms: -10 + 19 = 9 0.3w = 9 Divide each side by '0.3'. w = 30 Simplifying w = 30
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