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Simplifying 7w + 10 + 2w = 5w + -10 Reorder the terms: 10 + 7w + 2w = 5w + -10 Combine like terms: 7w + 2w = 9w 10 + 9w = 5w + -10 Reorder the terms: 10 + 9w = -10 + 5w Solving 10 + 9w = -10 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 10 + 9w + -5w = -10 + 5w + -5w Combine like terms: 9w + -5w = 4w 10 + 4w = -10 + 5w + -5w Combine like terms: 5w + -5w = 0 10 + 4w = -10 + 0 10 + 4w = -10 Add '-10' to each side of the equation. 10 + -10 + 4w = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 4w = -10 + -10 4w = -10 + -10 Combine like terms: -10 + -10 = -20 4w = -20 Divide each side by '4'. w = -5 Simplifying w = -5
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