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Simplifying -5w + 7 = 10 + -7w + -2w Reorder the terms: 7 + -5w = 10 + -7w + -2w Combine like terms: -7w + -2w = -9w 7 + -5w = 10 + -9w Solving 7 + -5w = 10 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 7 + -5w + 9w = 10 + -9w + 9w Combine like terms: -5w + 9w = 4w 7 + 4w = 10 + -9w + 9w Combine like terms: -9w + 9w = 0 7 + 4w = 10 + 0 7 + 4w = 10 Add '-7' to each side of the equation. 7 + -7 + 4w = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 4w = 10 + -7 4w = 10 + -7 Combine like terms: 10 + -7 = 3 4w = 3 Divide each side by '4'. w = 0.75 Simplifying w = 0.75
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