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Simplifying w + 49 = 8w Reorder the terms: 49 + w = 8w Solving 49 + w = 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 49 + w + -8w = 8w + -8w Combine like terms: w + -8w = -7w 49 + -7w = 8w + -8w Combine like terms: 8w + -8w = 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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