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Simplifying -0.1w + -1.1 = 0.3w + 2.9 Reorder the terms: -1.1 + -0.1w = 0.3w + 2.9 Reorder the terms: -1.1 + -0.1w = 2.9 + 0.3w Solving -1.1 + -0.1w = 2.9 + 0.3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.3w' to each side of the equation. -1.1 + -0.1w + -0.3w = 2.9 + 0.3w + -0.3w Combine like terms: -0.1w + -0.3w = -0.4w -1.1 + -0.4w = 2.9 + 0.3w + -0.3w Combine like terms: 0.3w + -0.3w = 0.0 -1.1 + -0.4w = 2.9 + 0.0 -1.1 + -0.4w = 2.9 Add '1.1' to each side of the equation. -1.1 + 1.1 + -0.4w = 2.9 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + -0.4w = 2.9 + 1.1 -0.4w = 2.9 + 1.1 Combine like terms: 2.9 + 1.1 = 4 -0.4w = 4 Divide each side by '-0.4'. w = -10 Simplifying w = -10
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