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Simplifying 6(w + -6) = 5w + -5 Reorder the terms: 6(-6 + w) = 5w + -5 (-6 * 6 + w * 6) = 5w + -5 (-36 + 6w) = 5w + -5 Reorder the terms: -36 + 6w = -5 + 5w Solving -36 + 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. -36 + 6w + -5w = -5 + 5w + -5w Combine like terms: 6w + -5w = 1w -36 + 1w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 -36 + 1w = -5 + 0 -36 + 1w = -5 Add '36' to each side of the equation. -36 + 36 + 1w = -5 + 36 Combine like terms: -36 + 36 = 0 0 + 1w = -5 + 36 1w = -5 + 36 Combine like terms: -5 + 36 = 31 1w = 31 Divide each side by '1'. w = 31 Simplifying w = 31
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