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Simplifying 0.5(4w + 10) + -8w = 35 Reorder the terms: 0.5(10 + 4w) + -8w = 35 (10 * 0.5 + 4w * 0.5) + -8w = 35 (5 + 2w) + -8w = 35 Combine like terms: 2w + -8w = -6w 5 + -6w = 35 Solving 5 + -6w = 35 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6w = 35 + -5 Combine like terms: 5 + -5 = 0 0 + -6w = 35 + -5 -6w = 35 + -5 Combine like terms: 35 + -5 = 30 -6w = 30 Divide each side by '-6'. w = -5 Simplifying w = -5
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