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