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Simplifying 7(7 + w) = 6(8 + w) (7 * 7 + w * 7) = 6(8 + w) (49 + 7w) = 6(8 + w) 49 + 7w = (8 * 6 + w * 6) 49 + 7w = (48 + 6w) Solving 49 + 7w = 48 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 49 + 7w + -6w = 48 + 6w + -6w Combine like terms: 7w + -6w = 1w 49 + 1w = 48 + 6w + -6w Combine like terms: 6w + -6w = 0 49 + 1w = 48 + 0 49 + 1w = 48 Add '-49' to each side of the equation. 49 + -49 + 1w = 48 + -49 Combine like terms: 49 + -49 = 0 0 + 1w = 48 + -49 1w = 48 + -49 Combine like terms: 48 + -49 = -1 1w = -1 Divide each side by '1'. w = -1 Simplifying w = -1
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