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Simplifying -5.7 = w + -4.6 Reorder the terms: -5.7 = -4.6 + w Solving -5.7 = -4.6 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -5.7 + -1w = -4.6 + w + -1w Combine like terms: w + -1w = 0 -5.7 + -1w = -4.6 + 0 -5.7 + -1w = -4.6 Add '5.7' to each side of the equation. -5.7 + 5.7 + -1w = -4.6 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + -1w = -4.6 + 5.7 -1w = -4.6 + 5.7 Combine like terms: -4.6 + 5.7 = 1.1 -1w = 1.1 Divide each side by '-1'. w = -1.1 Simplifying w = -1.1
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