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Simplifying 10 = 21 + -8(2 + -2w) 10 = 21 + (2 * -8 + -2w * -8) 10 = 21 + (-16 + 16w) Combine like terms: 21 + -16 = 5 10 = 5 + 16w Solving 10 = 5 + 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. 10 + -16w = 5 + 16w + -16w Combine like terms: 16w + -16w = 0 10 + -16w = 5 + 0 10 + -16w = 5 Add '-10' to each side of the equation. 10 + -10 + -16w = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -16w = 5 + -10 -16w = 5 + -10 Combine like terms: 5 + -10 = -5 -16w = -5 Divide each side by '-16'. w = 0.3125 Simplifying w = 0.3125
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