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Simplifying 0.9w + 5.6 = 1.9w + -3.4 Reorder the terms: 5.6 + 0.9w = 1.9w + -3.4 Reorder the terms: 5.6 + 0.9w = -3.4 + 1.9w Solving 5.6 + 0.9w = -3.4 + 1.9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.9w' to each side of the equation. 5.6 + 0.9w + -1.9w = -3.4 + 1.9w + -1.9w Combine like terms: 0.9w + -1.9w = -1w 5.6 + -1w = -3.4 + 1.9w + -1.9w Combine like terms: 1.9w + -1.9w = 0.0 5.6 + -1w = -3.4 + 0.0 5.6 + -1w = -3.4 Add '-5.6' to each side of the equation. 5.6 + -5.6 + -1w = -3.4 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -1w = -3.4 + -5.6 -1w = -3.4 + -5.6 Combine like terms: -3.4 + -5.6 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9
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