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Simplifying 5(2w + 4) = 6(w + 6) Reorder the terms: 5(4 + 2w) = 6(w + 6) (4 * 5 + 2w * 5) = 6(w + 6) (20 + 10w) = 6(w + 6) Reorder the terms: 20 + 10w = 6(6 + w) 20 + 10w = (6 * 6 + w * 6) 20 + 10w = (36 + 6w) Solving 20 + 10w = 36 + 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. 20 + 10w + -6w = 36 + 6w + -6w Combine like terms: 10w + -6w = 4w 20 + 4w = 36 + 6w + -6w Combine like terms: 6w + -6w = 0 20 + 4w = 36 + 0 20 + 4w = 36 Add '-20' to each side of the equation. 20 + -20 + 4w = 36 + -20 Combine like terms: 20 + -20 = 0 0 + 4w = 36 + -20 4w = 36 + -20 Combine like terms: 36 + -20 = 16 4w = 16 Divide each side by '4'. w = 4 Simplifying w = 4
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