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