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Simplifying 3.8w + -2.6 = 0.2w + -6.2 Reorder the terms: -2.6 + 3.8w = 0.2w + -6.2 Reorder the terms: -2.6 + 3.8w = -6.2 + 0.2w Solving -2.6 + 3.8w = -6.2 + 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. -2.6 + 3.8w + -0.2w = -6.2 + 0.2w + -0.2w Combine like terms: 3.8w + -0.2w = 3.6w -2.6 + 3.6w = -6.2 + 0.2w + -0.2w Combine like terms: 0.2w + -0.2w = 0.0 -2.6 + 3.6w = -6.2 + 0.0 -2.6 + 3.6w = -6.2 Add '2.6' to each side of the equation. -2.6 + 2.6 + 3.6w = -6.2 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 3.6w = -6.2 + 2.6 3.6w = -6.2 + 2.6 Combine like terms: -6.2 + 2.6 = -3.6 3.6w = -3.6 Divide each side by '3.6'. w = -1 Simplifying w = -1
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