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Simplifying 2w + -6w + 7 = 11 + -5w Reorder the terms: 7 + 2w + -6w = 11 + -5w Combine like terms: 2w + -6w = -4w 7 + -4w = 11 + -5w Solving 7 + -4w = 11 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 7 + -4w + 5w = 11 + -5w + 5w Combine like terms: -4w + 5w = 1w 7 + 1w = 11 + -5w + 5w Combine like terms: -5w + 5w = 0 7 + 1w = 11 + 0 7 + 1w = 11 Add '-7' to each side of the equation. 7 + -7 + 1w = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 1w = 11 + -7 1w = 11 + -7 Combine like terms: 11 + -7 = 4 1w = 4 Divide each side by '1'. w = 4 Simplifying w = 4
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