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Simplifying 7(6w + w) = 6(2 + w) Combine like terms: 6w + w = 7w 7(7w) = 6(2 + w) Remove parenthesis around (7w) 7 * 7w = 6(2 + w) Multiply 7 * 7 49w = 6(2 + w) 49w = (2 * 6 + w * 6) 49w = (12 + 6w) Solving 49w = 12 + 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. 49w + -6w = 12 + 6w + -6w Combine like terms: 49w + -6w = 43w 43w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 43w = 12 + 0 43w = 12 Divide each side by '43'. w = 0.2790697674 Simplifying w = 0.2790697674
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