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Simplifying w + 49 = 7w + 1 Reorder the terms: 49 + w = 7w + 1 Reorder the terms: 49 + w = 1 + 7w Solving 49 + w = 1 + 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 + w + -7w = 1 + 7w + -7w Combine like terms: w + -7w = -6w 49 + -6w = 1 + 7w + -7w Combine like terms: 7w + -7w = 0 49 + -6w = 1 + 0 49 + -6w = 1 Add '-49' to each side of the equation. 49 + -49 + -6w = 1 + -49 Combine like terms: 49 + -49 = 0 0 + -6w = 1 + -49 -6w = 1 + -49 Combine like terms: 1 + -49 = -48 -6w = -48 Divide each side by '-6'. w = 8 Simplifying w = 8
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