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Simplifying w + 2 = 2(w + -6) Reorder the terms: 2 + w = 2(w + -6) Reorder the terms: 2 + w = 2(-6 + w) 2 + w = (-6 * 2 + w * 2) 2 + w = (-12 + 2w) Solving 2 + 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. 2 + w + -2w = -12 + 2w + -2w Combine like terms: w + -2w = -1w 2 + -1w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 2 + -1w = -12 + 0 2 + -1w = -12 Add '-2' to each side of the equation. 2 + -2 + -1w = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = -12 + -2 -1w = -12 + -2 Combine like terms: -12 + -2 = -14 -1w = -14 Divide each side by '-1'. w = 14 Simplifying w = 14
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