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Simplifying 6(w + 6) = 4w + 20 Reorder the terms: 6(6 + w) = 4w + 20 (6 * 6 + w * 6) = 4w + 20 (36 + 6w) = 4w + 20 Reorder the terms: 36 + 6w = 20 + 4w Solving 36 + 6w = 20 + 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. 36 + 6w + -4w = 20 + 4w + -4w Combine like terms: 6w + -4w = 2w 36 + 2w = 20 + 4w + -4w Combine like terms: 4w + -4w = 0 36 + 2w = 20 + 0 36 + 2w = 20 Add '-36' to each side of the equation. 36 + -36 + 2w = 20 + -36 Combine like terms: 36 + -36 = 0 0 + 2w = 20 + -36 2w = 20 + -36 Combine like terms: 20 + -36 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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