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Simplifying 7(2 + w) = 6(7 + w) (2 * 7 + w * 7) = 6(7 + w) (14 + 7w) = 6(7 + w) 14 + 7w = (7 * 6 + w * 6) 14 + 7w = (42 + 6w) Solving 14 + 7w = 42 + 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. 14 + 7w + -6w = 42 + 6w + -6w Combine like terms: 7w + -6w = 1w 14 + 1w = 42 + 6w + -6w Combine like terms: 6w + -6w = 0 14 + 1w = 42 + 0 14 + 1w = 42 Add '-14' to each side of the equation. 14 + -14 + 1w = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 1w = 42 + -14 1w = 42 + -14 Combine like terms: 42 + -14 = 28 1w = 28 Divide each side by '1'. w = 28 Simplifying w = 28
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