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Simplifying -1(w + 4) = -6w + 7 Reorder the terms: -1(4 + w) = -6w + 7 (4 * -1 + w * -1) = -6w + 7 (-4 + -1w) = -6w + 7 Reorder the terms: -4 + -1w = 7 + -6w Solving -4 + -1w = 7 + -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. -4 + -1w + 6w = 7 + -6w + 6w Combine like terms: -1w + 6w = 5w -4 + 5w = 7 + -6w + 6w Combine like terms: -6w + 6w = 0 -4 + 5w = 7 + 0 -4 + 5w = 7 Add '4' to each side of the equation. -4 + 4 + 5w = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 5w = 7 + 4 5w = 7 + 4 Combine like terms: 7 + 4 = 11 5w = 11 Divide each side by '5'. w = 2.2 Simplifying w = 2.2
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