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Simplifying 4 = 9 + -3(2w + 1) + -5w Reorder the terms: 4 = 9 + -3(1 + 2w) + -5w 4 = 9 + (1 * -3 + 2w * -3) + -5w 4 = 9 + (-3 + -6w) + -5w Combine like terms: 9 + -3 = 6 4 = 6 + -6w + -5w Combine like terms: -6w + -5w = -11w 4 = 6 + -11w Solving 4 = 6 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. 4 + 11w = 6 + -11w + 11w Combine like terms: -11w + 11w = 0 4 + 11w = 6 + 0 4 + 11w = 6 Add '-4' to each side of the equation. 4 + -4 + 11w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 11w = 6 + -4 11w = 6 + -4 Combine like terms: 6 + -4 = 2 11w = 2 Divide each side by '11'. w = 0.1818181818 Simplifying w = 0.1818181818
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