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Simplifying 9(3 + -2w) = -2(10 + -8w) (3 * 9 + -2w * 9) = -2(10 + -8w) (27 + -18w) = -2(10 + -8w) 27 + -18w = (10 * -2 + -8w * -2) 27 + -18w = (-20 + 16w) Solving 27 + -18w = -20 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. 27 + -18w + -16w = -20 + 16w + -16w Combine like terms: -18w + -16w = -34w 27 + -34w = -20 + 16w + -16w Combine like terms: 16w + -16w = 0 27 + -34w = -20 + 0 27 + -34w = -20 Add '-27' to each side of the equation. 27 + -27 + -34w = -20 + -27 Combine like terms: 27 + -27 = 0 0 + -34w = -20 + -27 -34w = -20 + -27 Combine like terms: -20 + -27 = -47 -34w = -47 Divide each side by '-34'. w = 1.382352941 Simplifying w = 1.382352941
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