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Simplifying 6w + -5w + 4 = -6 + 7 Reorder the terms: 4 + 6w + -5w = -6 + 7 Combine like terms: 6w + -5w = 1w 4 + 1w = -6 + 7 Combine like terms: -6 + 7 = 1 4 + 1w = 1 Solving 4 + 1w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1w = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 1w = 1 + -4 1w = 1 + -4 Combine like terms: 1 + -4 = -3 1w = -3 Divide each side by '1'. w = -3 Simplifying w = -3
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