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Simplifying 1.9w + 7.9 = 0.9w + -3.8 Reorder the terms: 7.9 + 1.9w = 0.9w + -3.8 Reorder the terms: 7.9 + 1.9w = -3.8 + 0.9w Solving 7.9 + 1.9w = -3.8 + 0.9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.9w' to each side of the equation. 7.9 + 1.9w + -0.9w = -3.8 + 0.9w + -0.9w Combine like terms: 1.9w + -0.9w = 1w 7.9 + 1w = -3.8 + 0.9w + -0.9w Combine like terms: 0.9w + -0.9w = 0.0 7.9 + 1w = -3.8 + 0.0 7.9 + 1w = -3.8 Add '-7.9' to each side of the equation. 7.9 + -7.9 + 1w = -3.8 + -7.9 Combine like terms: 7.9 + -7.9 = 0.0 0.0 + 1w = -3.8 + -7.9 1w = -3.8 + -7.9 Combine like terms: -3.8 + -7.9 = -11.7 1w = -11.7 Divide each side by '1'. w = -11.7 Simplifying w = -11.7
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