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Simplifying -2w + -5 + 4w + 7 = w + 10 + -4w + 7 Reorder the terms: -5 + 7 + -2w + 4w = w + 10 + -4w + 7 Combine like terms: -5 + 7 = 2 2 + -2w + 4w = w + 10 + -4w + 7 Combine like terms: -2w + 4w = 2w 2 + 2w = w + 10 + -4w + 7 Reorder the terms: 2 + 2w = 10 + 7 + w + -4w Combine like terms: 10 + 7 = 17 2 + 2w = 17 + w + -4w Combine like terms: w + -4w = -3w 2 + 2w = 17 + -3w Solving 2 + 2w = 17 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 2 + 2w + 3w = 17 + -3w + 3w Combine like terms: 2w + 3w = 5w 2 + 5w = 17 + -3w + 3w Combine like terms: -3w + 3w = 0 2 + 5w = 17 + 0 2 + 5w = 17 Add '-2' to each side of the equation. 2 + -2 + 5w = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 5w = 17 + -2 5w = 17 + -2 Combine like terms: 17 + -2 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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