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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 = 3w 6 + 3w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + 3w = 12 + 0 6 + 3w = 12 Add '-6' to each side of the equation. 6 + -6 + 3w = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3w = 12 + -6 3w = 12 + -6 Combine like terms: 12 + -6 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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