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Simplifying 31 = -6w + 1 Reorder the terms: 31 = 1 + -6w Solving 31 = 1 + -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. 31 + 6w = 1 + -6w + 6w Combine like terms: -6w + 6w = 0 31 + 6w = 1 + 0 31 + 6w = 1 Add '-31' to each side of the equation. 31 + -31 + 6w = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 6w = 1 + -31 6w = 1 + -31 Combine like terms: 1 + -31 = -30 6w = -30 Divide each side by '6'. w = -5 Simplifying w = -5
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