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