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Simplifying 52 + -3 = -2w + 4w + 5w Combine like terms: 52 + -3 = 49 49 = -2w + 4w + 5w Combine like terms: -2w + 4w = 2w 49 = 2w + 5w Combine like terms: 2w + 5w = 7w 49 = 7w Solving 49 = 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. 49 + -7w = 7w + -7w Combine like terms: 7w + -7w = 0 49 + -7w = 0 Add '-49' to each side of the equation. 49 + -49 + -7w = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -7w = 0 + -49 -7w = 0 + -49 Combine like terms: 0 + -49 = -49 -7w = -49 Divide each side by '-7'. w = 7 Simplifying w = 7
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