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Simplifying 6(w + 5) = 18 + 4w Reorder the terms: 6(5 + w) = 18 + 4w (5 * 6 + w * 6) = 18 + 4w (30 + 6w) = 18 + 4w Solving 30 + 6w = 18 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 30 + 6w + -4w = 18 + 4w + -4w Combine like terms: 6w + -4w = 2w 30 + 2w = 18 + 4w + -4w Combine like terms: 4w + -4w = 0 30 + 2w = 18 + 0 30 + 2w = 18 Add '-30' to each side of the equation. 30 + -30 + 2w = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 2w = 18 + -30 2w = 18 + -30 Combine like terms: 18 + -30 = -12 2w = -12 Divide each side by '2'. w = -6 Simplifying w = -6
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