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Simplifying 3(7 + 2w) = 0.5(-2 + -10w) (7 * 3 + 2w * 3) = 0.5(-2 + -10w) (21 + 6w) = 0.5(-2 + -10w) 21 + 6w = (-2 * 0.5 + -10w * 0.5) 21 + 6w = (-1 + -5w) Solving 21 + 6w = -1 + -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. 21 + 6w + 5w = -1 + -5w + 5w Combine like terms: 6w + 5w = 11w 21 + 11w = -1 + -5w + 5w Combine like terms: -5w + 5w = 0 21 + 11w = -1 + 0 21 + 11w = -1 Add '-21' to each side of the equation. 21 + -21 + 11w = -1 + -21 Combine like terms: 21 + -21 = 0 0 + 11w = -1 + -21 11w = -1 + -21 Combine like terms: -1 + -21 = -22 11w = -22 Divide each side by '11'. w = -2 Simplifying w = -2
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