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Simplifying 20 = 4(w + 8) + -6w Reorder the terms: 20 = 4(8 + w) + -6w 20 = (8 * 4 + w * 4) + -6w 20 = (32 + 4w) + -6w Combine like terms: 4w + -6w = -2w 20 = 32 + -2w Solving 20 = 32 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 20 + 2w = 32 + -2w + 2w Combine like terms: -2w + 2w = 0 20 + 2w = 32 + 0 20 + 2w = 32 Add '-20' to each side of the equation. 20 + -20 + 2w = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 2w = 32 + -20 2w = 32 + -20 Combine like terms: 32 + -20 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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