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Simplifying 2(2w + -6) = 6 + 14 Reorder the terms: 2(-6 + 2w) = 6 + 14 (-6 * 2 + 2w * 2) = 6 + 14 (-12 + 4w) = 6 + 14 Combine like terms: 6 + 14 = 20 -12 + 4w = 20 Solving -12 + 4w = 20 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4w = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 4w = 20 + 12 4w = 20 + 12 Combine like terms: 20 + 12 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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