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Simplifying 8w + 5 = -6w + -10 Reorder the terms: 5 + 8w = -6w + -10 Reorder the terms: 5 + 8w = -10 + -6w Solving 5 + 8w = -10 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 5 + 8w + 6w = -10 + -6w + 6w Combine like terms: 8w + 6w = 14w 5 + 14w = -10 + -6w + 6w Combine like terms: -6w + 6w = 0 5 + 14w = -10 + 0 5 + 14w = -10 Add '-5' to each side of the equation. 5 + -5 + 14w = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 14w = -10 + -5 14w = -10 + -5 Combine like terms: -10 + -5 = -15 14w = -15 Divide each side by '14'. w = -1.071428571 Simplifying w = -1.071428571
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