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Simplifying 2.9w + 5 = 4 + -7w + -7.6 Reorder the terms: 5 + 2.9w = 4 + -7w + -7.6 Reorder the terms: 5 + 2.9w = 4 + -7.6 + -7w Combine like terms: 4 + -7.6 = -3.6 5 + 2.9w = -3.6 + -7w Solving 5 + 2.9w = -3.6 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 5 + 2.9w + 7w = -3.6 + -7w + 7w Combine like terms: 2.9w + 7w = 9.9w 5 + 9.9w = -3.6 + -7w + 7w Combine like terms: -7w + 7w = 0 5 + 9.9w = -3.6 + 0 5 + 9.9w = -3.6 Add '-5' to each side of the equation. 5 + -5 + 9.9w = -3.6 + -5 Combine like terms: 5 + -5 = 0 0 + 9.9w = -3.6 + -5 9.9w = -3.6 + -5 Combine like terms: -3.6 + -5 = -8.6 9.9w = -8.6 Divide each side by '9.9'. w = -0.8686868687 Simplifying w = -0.8686868687
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