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Simplifying 6(w + 2) = 0 + 2w Reorder the terms: 6(2 + w) = 0 + 2w (2 * 6 + w * 6) = 0 + 2w (12 + 6w) = 0 + 2w Remove the zero: 12 + 6w = 2w Solving 12 + 6w = 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 = 2w + -2w Combine like terms: 6w + -2w = 4w 12 + 4w = 2w + -2w Combine like terms: 2w + -2w = 0 12 + 4w = 0 Add '-12' to each side of the equation. 12 + -12 + 4w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4w = 0 + -12 4w = 0 + -12 Combine like terms: 0 + -12 = -12 4w = -12 Divide each side by '4'. w = -3 Simplifying w = -3
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