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Simplifying 2(w + -6) = w + 6 Reorder the terms: 2(-6 + w) = w + 6 (-6 * 2 + w * 2) = w + 6 (-12 + 2w) = w + 6 Reorder the terms: -12 + 2w = 6 + w Solving -12 + 2w = 6 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -12 + 2w + -1w = 6 + w + -1w Combine like terms: 2w + -1w = 1w -12 + 1w = 6 + w + -1w Combine like terms: w + -1w = 0 -12 + 1w = 6 + 0 -12 + 1w = 6 Add '12' to each side of the equation. -12 + 12 + 1w = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 1w = 6 + 12 1w = 6 + 12 Combine like terms: 6 + 12 = 18 1w = 18 Divide each side by '1'. w = 18 Simplifying w = 18
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