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