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Simplifying 20 = -6w + 2(w + 8) Reorder the terms: 20 = -6w + 2(8 + w) 20 = -6w + (8 * 2 + w * 2) 20 = -6w + (16 + 2w) Reorder the terms: 20 = 16 + -6w + 2w Combine like terms: -6w + 2w = -4w 20 = 16 + -4w Solving 20 = 16 + -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. 20 + 4w = 16 + -4w + 4w Combine like terms: -4w + 4w = 0 20 + 4w = 16 + 0 20 + 4w = 16 Add '-20' to each side of the equation. 20 + -20 + 4w = 16 + -20 Combine like terms: 20 + -20 = 0 0 + 4w = 16 + -20 4w = 16 + -20 Combine like terms: 16 + -20 = -4 4w = -4 Divide each side by '4'. w = -1 Simplifying w = -1
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