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Simplifying 2w + 55 = 7w Reorder the terms: 55 + 2w = 7w Solving 55 + 2w = 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. 55 + 2w + -7w = 7w + -7w Combine like terms: 2w + -7w = -5w 55 + -5w = 7w + -7w Combine like terms: 7w + -7w = 0 55 + -5w = 0 Add '-55' to each side of the equation. 55 + -55 + -5w = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -5w = 0 + -55 -5w = 0 + -55 Combine like terms: 0 + -55 = -55 -5w = -55 Divide each side by '-5'. w = 11 Simplifying w = 11
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