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Simplifying (6w + 14) = 20 + -1(5w + 2) Reorder the terms: (14 + 6w) = 20 + -1(5w + 2) Remove parenthesis around (14 + 6w) 14 + 6w = 20 + -1(5w + 2) Reorder the terms: 14 + 6w = 20 + -1(2 + 5w) 14 + 6w = 20 + (2 * -1 + 5w * -1) 14 + 6w = 20 + (-2 + -5w) Combine like terms: 20 + -2 = 18 14 + 6w = 18 + -5w Solving 14 + 6w = 18 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 14 + 6w + 5w = 18 + -5w + 5w Combine like terms: 6w + 5w = 11w 14 + 11w = 18 + -5w + 5w Combine like terms: -5w + 5w = 0 14 + 11w = 18 + 0 14 + 11w = 18 Add '-14' to each side of the equation. 14 + -14 + 11w = 18 + -14 Combine like terms: 14 + -14 = 0 0 + 11w = 18 + -14 11w = 18 + -14 Combine like terms: 18 + -14 = 4 11w = 4 Divide each side by '11'. w = 0.3636363636 Simplifying w = 0.3636363636
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