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Simplifying -2.2w + -3.1 = -0.4w + 5.9 Reorder the terms: -3.1 + -2.2w = -0.4w + 5.9 Reorder the terms: -3.1 + -2.2w = 5.9 + -0.4w Solving -3.1 + -2.2w = 5.9 + -0.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.4w' to each side of the equation. -3.1 + -2.2w + 0.4w = 5.9 + -0.4w + 0.4w Combine like terms: -2.2w + 0.4w = -1.8w -3.1 + -1.8w = 5.9 + -0.4w + 0.4w Combine like terms: -0.4w + 0.4w = 0.0 -3.1 + -1.8w = 5.9 + 0.0 -3.1 + -1.8w = 5.9 Add '3.1' to each side of the equation. -3.1 + 3.1 + -1.8w = 5.9 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + -1.8w = 5.9 + 3.1 -1.8w = 5.9 + 3.1 Combine like terms: 5.9 + 3.1 = 9 -1.8w = 9 Divide each side by '-1.8'. w = -5 Simplifying w = -5
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