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Simplifying 6(w + 2) = 2(w + 11) Reorder the terms: 6(2 + w) = 2(w + 11) (2 * 6 + w * 6) = 2(w + 11) (12 + 6w) = 2(w + 11) Reorder the terms: 12 + 6w = 2(11 + w) 12 + 6w = (11 * 2 + w * 2) 12 + 6w = (22 + 2w) Solving 12 + 6w = 22 + 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. 12 + 6w + -2w = 22 + 2w + -2w Combine like terms: 6w + -2w = 4w 12 + 4w = 22 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + 4w = 22 + 0 12 + 4w = 22 Add '-12' to each side of the equation. 12 + -12 + 4w = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 4w = 22 + -12 4w = 22 + -12 Combine like terms: 22 + -12 = 10 4w = 10 Divide each side by '4'. w = 2.5 Simplifying w = 2.5
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