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