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Simplifying 2.3 + -7.9 = 10w + -7.4 + -9w Combine like terms: 2.3 + -7.9 = -5.6 -5.6 = 10w + -7.4 + -9w Reorder the terms: -5.6 = -7.4 + 10w + -9w Combine like terms: 10w + -9w = 1w -5.6 = -7.4 + 1w Solving -5.6 = -7.4 + 1w 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. -5.6 + -1w = -7.4 + 1w + -1w Combine like terms: 1w + -1w = 0 -5.6 + -1w = -7.4 + 0 -5.6 + -1w = -7.4 Add '5.6' to each side of the equation. -5.6 + 5.6 + -1w = -7.4 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + -1w = -7.4 + 5.6 -1w = -7.4 + 5.6 Combine like terms: -7.4 + 5.6 = -1.8 -1w = -1.8 Divide each side by '-1'. w = 1.8 Simplifying w = 1.8
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