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Simplifying 2(w + 6) = 6w + -20 Reorder the terms: 2(6 + w) = 6w + -20 (6 * 2 + w * 2) = 6w + -20 (12 + 2w) = 6w + -20 Reorder the terms: 12 + 2w = -20 + 6w Solving 12 + 2w = -20 + 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. 12 + 2w + -6w = -20 + 6w + -6w Combine like terms: 2w + -6w = -4w 12 + -4w = -20 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + -4w = -20 + 0 12 + -4w = -20 Add '-12' to each side of the equation. 12 + -12 + -4w = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -4w = -20 + -12 -4w = -20 + -12 Combine like terms: -20 + -12 = -32 -4w = -32 Divide each side by '-4'. w = 8 Simplifying w = 8
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