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Simplifying 2w + 5 + -8w = 7 + -16w Reorder the terms: 5 + 2w + -8w = 7 + -16w Combine like terms: 2w + -8w = -6w 5 + -6w = 7 + -16w Solving 5 + -6w = 7 + -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. 5 + -6w + 16w = 7 + -16w + 16w Combine like terms: -6w + 16w = 10w 5 + 10w = 7 + -16w + 16w Combine like terms: -16w + 16w = 0 5 + 10w = 7 + 0 5 + 10w = 7 Add '-5' to each side of the equation. 5 + -5 + 10w = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 10w = 7 + -5 10w = 7 + -5 Combine like terms: 7 + -5 = 2 10w = 2 Divide each side by '10'. w = 0.2 Simplifying w = 0.2
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