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Simplifying 6(6w + 6) + -5 = 1 + 6w Reorder the terms: 6(6 + 6w) + -5 = 1 + 6w (6 * 6 + 6w * 6) + -5 = 1 + 6w (36 + 36w) + -5 = 1 + 6w Reorder the terms: 36 + -5 + 36w = 1 + 6w Combine like terms: 36 + -5 = 31 31 + 36w = 1 + 6w Solving 31 + 36w = 1 + 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. 31 + 36w + -6w = 1 + 6w + -6w Combine like terms: 36w + -6w = 30w 31 + 30w = 1 + 6w + -6w Combine like terms: 6w + -6w = 0 31 + 30w = 1 + 0 31 + 30w = 1 Add '-31' to each side of the equation. 31 + -31 + 30w = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 30w = 1 + -31 30w = 1 + -31 Combine like terms: 1 + -31 = -30 30w = -30 Divide each side by '30'. w = -1 Simplifying w = -1
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