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Simplifying -6(w + 1) = 1 Reorder the terms: -6(1 + w) = 1 (1 * -6 + w * -6) = 1 (-6 + -6w) = 1 Solving -6 + -6w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -6w = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -6w = 1 + 6 -6w = 1 + 6 Combine like terms: 1 + 6 = 7 -6w = 7 Divide each side by '-6'. w = -1.166666667 Simplifying w = -1.166666667
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