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Simplifying 11 = 24 + -8(4 + -2w) 11 = 24 + (4 * -8 + -2w * -8) 11 = 24 + (-32 + 16w) Combine like terms: 24 + -32 = -8 11 = -8 + 16w Solving 11 = -8 + 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. 11 + -16w = -8 + 16w + -16w Combine like terms: 16w + -16w = 0 11 + -16w = -8 + 0 11 + -16w = -8 Add '-11' to each side of the equation. 11 + -11 + -16w = -8 + -11 Combine like terms: 11 + -11 = 0 0 + -16w = -8 + -11 -16w = -8 + -11 Combine like terms: -8 + -11 = -19 -16w = -19 Divide each side by '-16'. w = 1.1875 Simplifying w = 1.1875
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