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Simplifying -1(w + -2) = -6w + 11 Reorder the terms: -1(-2 + w) = -6w + 11 (-2 * -1 + w * -1) = -6w + 11 (2 + -1w) = -6w + 11 Reorder the terms: 2 + -1w = 11 + -6w Solving 2 + -1w = 11 + -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. 2 + -1w + 6w = 11 + -6w + 6w Combine like terms: -1w + 6w = 5w 2 + 5w = 11 + -6w + 6w Combine like terms: -6w + 6w = 0 2 + 5w = 11 + 0 2 + 5w = 11 Add '-2' to each side of the equation. 2 + -2 + 5w = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 5w = 11 + -2 5w = 11 + -2 Combine like terms: 11 + -2 = 9 5w = 9 Divide each side by '5'. w = 1.8 Simplifying w = 1.8
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