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Simplifying -1(w + 2) = -6w + 17 Reorder the terms: -1(2 + w) = -6w + 17 (2 * -1 + w * -1) = -6w + 17 (-2 + -1w) = -6w + 17 Reorder the terms: -2 + -1w = 17 + -6w Solving -2 + -1w = 17 + -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 = 17 + -6w + 6w Combine like terms: -1w + 6w = 5w -2 + 5w = 17 + -6w + 6w Combine like terms: -6w + 6w = 0 -2 + 5w = 17 + 0 -2 + 5w = 17 Add '2' to each side of the equation. -2 + 2 + 5w = 17 + 2 Combine like terms: -2 + 2 = 0 0 + 5w = 17 + 2 5w = 17 + 2 Combine like terms: 17 + 2 = 19 5w = 19 Divide each side by '5'. w = 3.8 Simplifying w = 3.8
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