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Simplifying -2w + 7 = -5w Reorder the terms: 7 + -2w = -5w Solving 7 + -2w = -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. 7 + -2w + 5w = -5w + 5w Combine like terms: -2w + 5w = 3w 7 + 3w = -5w + 5w Combine like terms: -5w + 5w = 0 7 + 3w = 0 Add '-7' to each side of the equation. 7 + -7 + 3w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3w = 0 + -7 3w = 0 + -7 Combine like terms: 0 + -7 = -7 3w = -7 Divide each side by '3'. w = -2.333333333 Simplifying w = -2.333333333
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