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Simplifying w + 6 = 2(w + 6) Reorder the terms: 6 + w = 2(w + 6) Reorder the terms: 6 + w = 2(6 + w) 6 + w = (6 * 2 + w * 2) 6 + w = (12 + 2w) Solving 6 + w = 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. 6 + w + -2w = 12 + 2w + -2w Combine like terms: w + -2w = -1w 6 + -1w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 6 + -1w = 12 + 0 6 + -1w = 12 Add '-6' to each side of the equation. 6 + -6 + -1w = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 12 + -6 -1w = 12 + -6 Combine like terms: 12 + -6 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6
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