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Simplifying 2w + 16 = 4w + 28 Reorder the terms: 16 + 2w = 4w + 28 Reorder the terms: 16 + 2w = 28 + 4w Solving 16 + 2w = 28 + 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. 16 + 2w + -4w = 28 + 4w + -4w Combine like terms: 2w + -4w = -2w 16 + -2w = 28 + 4w + -4w Combine like terms: 4w + -4w = 0 16 + -2w = 28 + 0 16 + -2w = 28 Add '-16' to each side of the equation. 16 + -16 + -2w = 28 + -16 Combine like terms: 16 + -16 = 0 0 + -2w = 28 + -16 -2w = 28 + -16 Combine like terms: 28 + -16 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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