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Simplifying 5 = 6w + -8w + -1 Reorder the terms: 5 = -1 + 6w + -8w Combine like terms: 6w + -8w = -2w 5 = -1 + -2w Solving 5 = -1 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 5 + 2w = -1 + -2w + 2w Combine like terms: -2w + 2w = 0 5 + 2w = -1 + 0 5 + 2w = -1 Add '-5' to each side of the equation. 5 + -5 + 2w = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = -1 + -5 2w = -1 + -5 Combine like terms: -1 + -5 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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