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Simplifying 6w + 5 + -5w = -3 + 7 Reorder the terms: 5 + 6w + -5w = -3 + 7 Combine like terms: 6w + -5w = 1w 5 + 1w = -3 + 7 Combine like terms: -3 + 7 = 4 5 + 1w = 4 Solving 5 + 1w = 4 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 + 1w = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 1w = 4 + -5 1w = 4 + -5 Combine like terms: 4 + -5 = -1 1w = -1 Divide each side by '1'. w = -1 Simplifying w = -1
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