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Simplifying 6(w + -1) = 5w + -9 Reorder the terms: 6(-1 + w) = 5w + -9 (-1 * 6 + w * 6) = 5w + -9 (-6 + 6w) = 5w + -9 Reorder the terms: -6 + 6w = -9 + 5w Solving -6 + 6w = -9 + 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 = -9 + 5w + -5w Combine like terms: 6w + -5w = 1w -6 + 1w = -9 + 5w + -5w Combine like terms: 5w + -5w = 0 -6 + 1w = -9 + 0 -6 + 1w = -9 Add '6' to each side of the equation. -6 + 6 + 1w = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 1w = -9 + 6 1w = -9 + 6 Combine like terms: -9 + 6 = -3 1w = -3 Divide each side by '1'. w = -3 Simplifying w = -3
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