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Simplifying 6w + 2 + -5w = -4 + 8 Reorder the terms: 2 + 6w + -5w = -4 + 8 Combine like terms: 6w + -5w = 1w 2 + 1w = -4 + 8 Combine like terms: -4 + 8 = 4 2 + 1w = 4 Solving 2 + 1w = 4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1w = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 1w = 4 + -2 1w = 4 + -2 Combine like terms: 4 + -2 = 2 1w = 2 Divide each side by '1'. w = 2 Simplifying w = 2
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